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Finding the Fourth Proportional to 6,312.13, 9,489.17 and 4,476.40

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Solution

The fourth proportional to 6,312.13, 9,489.17 and 4,476.40 is: 6,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.13 : 9,489.17 = 4,476.40 : x
  2. Step 2: Convert to fraction form
    6,312.13/9,489.17 = 4,476.40/x
  3. Step 3: Cross multiply
    6,312.13x = 9,489.17 × 4,476.40
  4. Step 4: Simplify right side
    6,312.13x = 42,477,320.59
  5. Step 5: Solve for x
    x = 42,477,320.59/6,312.13
  6. Step 6: Final answer
    x = 6,729.47

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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.