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Finding the Fourth Proportional to 9,823.97, 14,760.56 and 9,233.48

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Solution

The fourth proportional to 9,823.97, 14,760.56 and 9,233.48 is: 13,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.97 : 14,760.56 = 9,233.48 : x
  2. Step 2: Convert to fraction form
    9,823.97/14,760.56 = 9,233.48/x
  3. Step 3: Cross multiply
    9,823.97x = 14,760.56 × 9,233.48
  4. Step 4: Simplify right side
    9,823.97x = 136,291,395.53
  5. Step 5: Solve for x
    x = 136,291,395.53/9,823.97
  6. Step 6: Final answer
    x = 13,873.35

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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.