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Finding the Fourth Proportional to 9,233.64, 12,742.47 and 5,041.89

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Solution

The fourth proportional to 9,233.64, 12,742.47 and 5,041.89 is: 6,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.64 : 12,742.47 = 5,041.89 : x
  2. Step 2: Convert to fraction form
    9,233.64/12,742.47 = 5,041.89/x
  3. Step 3: Cross multiply
    9,233.64x = 12,742.47 × 5,041.89
  4. Step 4: Simplify right side
    9,233.64x = 64,246,132.07
  5. Step 5: Solve for x
    x = 64,246,132.07/9,233.64
  6. Step 6: Final answer
    x = 6,957.83

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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.