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Finding the Fourth Proportional to 9,578.92, 14,349.18 and 4,377.64

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Solution

The fourth proportional to 9,578.92, 14,349.18 and 4,377.64 is: 6,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.92 : 14,349.18 = 4,377.64 : x
  2. Step 2: Convert to fraction form
    9,578.92/14,349.18 = 4,377.64/x
  3. Step 3: Cross multiply
    9,578.92x = 14,349.18 × 4,377.64
  4. Step 4: Simplify right side
    9,578.92x = 62,815,544.34
  5. Step 5: Solve for x
    x = 62,815,544.34/9,578.92
  6. Step 6: Final answer
    x = 6,557.69

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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.