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Finding the Fourth Proportional to 9,792.48, 14,655.92 and 8,037.42

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Solution

The fourth proportional to 9,792.48, 14,655.92 and 8,037.42 is: 12,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.48 : 14,655.92 = 8,037.42 : x
  2. Step 2: Convert to fraction form
    9,792.48/14,655.92 = 8,037.42/x
  3. Step 3: Cross multiply
    9,792.48x = 14,655.92 × 8,037.42
  4. Step 4: Simplify right side
    9,792.48x = 117,795,784.53
  5. Step 5: Solve for x
    x = 117,795,784.53/9,792.48
  6. Step 6: Final answer
    x = 12,029.21

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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.