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Finding the Fourth Proportional to 9,524.68, 14,296.24 and 4,597.78

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Solution

The fourth proportional to 9,524.68, 14,296.24 and 4,597.78 is: 6,901.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.68 : 14,296.24 = 4,597.78 : x
  2. Step 2: Convert to fraction form
    9,524.68/14,296.24 = 4,597.78/x
  3. Step 3: Cross multiply
    9,524.68x = 14,296.24 × 4,597.78
  4. Step 4: Simplify right side
    9,524.68x = 65,730,966.35
  5. Step 5: Solve for x
    x = 65,730,966.35/9,524.68
  6. Step 6: Final answer
    x = 6,901.12

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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.