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Finding the Fourth Proportional to 9,424.91, 14,117.54 and 4,489.58

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Solution

The fourth proportional to 9,424.91, 14,117.54 and 4,489.58 is: 6,724.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.91 : 14,117.54 = 4,489.58 : x
  2. Step 2: Convert to fraction form
    9,424.91/14,117.54 = 4,489.58/x
  3. Step 3: Cross multiply
    9,424.91x = 14,117.54 × 4,489.58
  4. Step 4: Simplify right side
    9,424.91x = 63,381,783.92
  5. Step 5: Solve for x
    x = 63,381,783.92/9,424.91
  6. Step 6: Final answer
    x = 6,724.92

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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.