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Finding the Fourth Proportional to 9,711.12, 13,402.46 and 5,404.64

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Solution

The fourth proportional to 9,711.12, 13,402.46 and 5,404.64 is: 7,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.12 : 13,402.46 = 5,404.64 : x
  2. Step 2: Convert to fraction form
    9,711.12/13,402.46 = 5,404.64/x
  3. Step 3: Cross multiply
    9,711.12x = 13,402.46 × 5,404.64
  4. Step 4: Simplify right side
    9,711.12x = 72,435,471.41
  5. Step 5: Solve for x
    x = 72,435,471.41/9,711.12
  6. Step 6: Final answer
    x = 7,459.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.