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Finding the Fourth Proportional to 9,259.60, 13,877.08 and 3,410.80

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Solution

The fourth proportional to 9,259.60, 13,877.08 and 3,410.80 is: 5,111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.60 : 13,877.08 = 3,410.80 : x
  2. Step 2: Convert to fraction form
    9,259.60/13,877.08 = 3,410.80/x
  3. Step 3: Cross multiply
    9,259.60x = 13,877.08 × 3,410.80
  4. Step 4: Simplify right side
    9,259.60x = 47,331,944.46
  5. Step 5: Solve for x
    x = 47,331,944.46/9,259.60
  6. Step 6: Final answer
    x = 5,111.66

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