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Finding the Fourth Proportional to 9,792.86, 14,691.33 and 4,453.50

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Solution

The fourth proportional to 9,792.86, 14,691.33 and 4,453.50 is: 6,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.86 : 14,691.33 = 4,453.50 : x
  2. Step 2: Convert to fraction form
    9,792.86/14,691.33 = 4,453.50/x
  3. Step 3: Cross multiply
    9,792.86x = 14,691.33 × 4,453.50
  4. Step 4: Simplify right side
    9,792.86x = 65,427,838.16
  5. Step 5: Solve for x
    x = 65,427,838.16/9,792.86
  6. Step 6: Final answer
    x = 6,681.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.