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Finding the Fourth Proportional to 9,792.59, 14,693.94 and 4,862.12

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Solution

The fourth proportional to 9,792.59, 14,693.94 and 4,862.12 is: 7,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.59 : 14,693.94 = 4,862.12 : x
  2. Step 2: Convert to fraction form
    9,792.59/14,693.94 = 4,862.12/x
  3. Step 3: Cross multiply
    9,792.59x = 14,693.94 × 4,862.12
  4. Step 4: Simplify right side
    9,792.59x = 71,443,626.08
  5. Step 5: Solve for x
    x = 71,443,626.08/9,792.59
  6. Step 6: Final answer
    x = 7,295.69

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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.