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Finding the Fourth Proportional to 9,656.70, 14,475.20 and 5,487.90

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Solution

The fourth proportional to 9,656.70, 14,475.20 and 5,487.90 is: 8,226.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.70 : 14,475.20 = 5,487.90 : x
  2. Step 2: Convert to fraction form
    9,656.70/14,475.20 = 5,487.90/x
  3. Step 3: Cross multiply
    9,656.70x = 14,475.20 × 5,487.90
  4. Step 4: Simplify right side
    9,656.70x = 79,438,422.64
  5. Step 5: Solve for x
    x = 79,438,422.64/9,656.70
  6. Step 6: Final answer
    x = 8,226.25

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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.