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Finding the Fourth Proportional to 9,785.28, 14,657.12 and 6,624.65

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Solution

The fourth proportional to 9,785.28, 14,657.12 and 6,624.65 is: 9,922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.28 : 14,657.12 = 6,624.65 : x
  2. Step 2: Convert to fraction form
    9,785.28/14,657.12 = 6,624.65/x
  3. Step 3: Cross multiply
    9,785.28x = 14,657.12 × 6,624.65
  4. Step 4: Simplify right side
    9,785.28x = 97,098,216.72
  5. Step 5: Solve for x
    x = 97,098,216.72/9,785.28
  6. Step 6: Final answer
    x = 9,922.89

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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.