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Finding the Fourth Proportional to 12,599.52, 17,387.10 and 6,934.47

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Solution

The fourth proportional to 12,599.52, 17,387.10 and 6,934.47 is: 9,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,599.52 : 17,387.10 = 6,934.47 : x
  2. Step 2: Convert to fraction form
    12,599.52/17,387.10 = 6,934.47/x
  3. Step 3: Cross multiply
    12,599.52x = 17,387.10 × 6,934.47
  4. Step 4: Simplify right side
    12,599.52x = 120,570,323.34
  5. Step 5: Solve for x
    x = 120,570,323.34/12,599.52
  6. Step 6: Final answer
    x = 9,569.44

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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.