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Finding the Fourth Proportional to 6,354.06, 9,522.45 and 4,716.78

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Solution

The fourth proportional to 6,354.06, 9,522.45 and 4,716.78 is: 7,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.06 : 9,522.45 = 4,716.78 : x
  2. Step 2: Convert to fraction form
    6,354.06/9,522.45 = 4,716.78/x
  3. Step 3: Cross multiply
    6,354.06x = 9,522.45 × 4,716.78
  4. Step 4: Simplify right side
    6,354.06x = 44,915,301.71
  5. Step 5: Solve for x
    x = 44,915,301.71/6,354.06
  6. Step 6: Final answer
    x = 7,068.76

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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.