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Finding the Fourth Proportional to 9,624.27, 14,437.92 and 4,077.65

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Solution

The fourth proportional to 9,624.27, 14,437.92 and 4,077.65 is: 6,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.27 : 14,437.92 = 4,077.65 : x
  2. Step 2: Convert to fraction form
    9,624.27/14,437.92 = 4,077.65/x
  3. Step 3: Cross multiply
    9,624.27x = 14,437.92 × 4,077.65
  4. Step 4: Simplify right side
    9,624.27x = 58,872,784.49
  5. Step 5: Solve for x
    x = 58,872,784.49/9,624.27
  6. Step 6: Final answer
    x = 6,117.12

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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.