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Finding the Fourth Proportional to 10,743.59, 14,792.46 and 9,759.44

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Solution

The fourth proportional to 10,743.59, 14,792.46 and 9,759.44 is: 13,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.59 : 14,792.46 = 9,759.44 : x
  2. Step 2: Convert to fraction form
    10,743.59/14,792.46 = 9,759.44/x
  3. Step 3: Cross multiply
    10,743.59x = 14,792.46 × 9,759.44
  4. Step 4: Simplify right side
    10,743.59x = 144,366,051.86
  5. Step 5: Solve for x
    x = 144,366,051.86/10,743.59
  6. Step 6: Final answer
    x = 13,437.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.