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Finding the Fourth Proportional to 9,585.12, 14,363.12 and 4,384.92

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Solution

The fourth proportional to 9,585.12, 14,363.12 and 4,384.92 is: 6,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.12 : 14,363.12 = 4,384.92 : x
  2. Step 2: Convert to fraction form
    9,585.12/14,363.12 = 4,384.92/x
  3. Step 3: Cross multiply
    9,585.12x = 14,363.12 × 4,384.92
  4. Step 4: Simplify right side
    9,585.12x = 62,981,132.15
  5. Step 5: Solve for x
    x = 62,981,132.15/9,585.12
  6. Step 6: Final answer
    x = 6,570.72

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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.