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Finding the Fourth Proportional to 9,915.86, 14,853.54 and 5,535.65

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Solution

The fourth proportional to 9,915.86, 14,853.54 and 5,535.65 is: 8,292.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.86 : 14,853.54 = 5,535.65 : x
  2. Step 2: Convert to fraction form
    9,915.86/14,853.54 = 5,535.65/x
  3. Step 3: Cross multiply
    9,915.86x = 14,853.54 × 5,535.65
  4. Step 4: Simplify right side
    9,915.86x = 82,223,998.70
  5. Step 5: Solve for x
    x = 82,223,998.70/9,915.86
  6. Step 6: Final answer
    x = 8,292.17

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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.