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Finding the Fourth Proportional to 9,401.47, 12,968.61 and 7,815.89

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Solution

The fourth proportional to 9,401.47, 12,968.61 and 7,815.89 is: 10,781.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.47 : 12,968.61 = 7,815.89 : x
  2. Step 2: Convert to fraction form
    9,401.47/12,968.61 = 7,815.89/x
  3. Step 3: Cross multiply
    9,401.47x = 12,968.61 × 7,815.89
  4. Step 4: Simplify right side
    9,401.47x = 101,361,232.32
  5. Step 5: Solve for x
    x = 101,361,232.32/9,401.47
  6. Step 6: Final answer
    x = 10,781.43

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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.