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Finding the Fourth Proportional to 9,773,961.60, 14,667,940.80 and 4,098,259.20

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Solution

The fourth proportional to 9,773,961.60, 14,667,940.80 and 4,098,259.20 is: 6,150,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773,961.60 : 14,667,940.80 = 4,098,259.20 : x
  2. Step 2: Convert to fraction form
    9,773,961.60/14,667,940.80 = 4,098,259.20/x
  3. Step 3: Cross multiply
    9,773,961.60x = 14,667,940.80 × 4,098,259.20
  4. Step 4: Simplify right side
    9,773,961.60x = 60,113,023,328,655.37
  5. Step 5: Solve for x
    x = 60,113,023,328,655.37/9,773,961.60
  6. Step 6: Final answer
    x = 6,150,323.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.