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Finding the Fourth Proportional to 9,731.54, 14,602.08 and 6,032.79

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Solution

The fourth proportional to 9,731.54, 14,602.08 and 6,032.79 is: 9,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.54 : 14,602.08 = 6,032.79 : x
  2. Step 2: Convert to fraction form
    9,731.54/14,602.08 = 6,032.79/x
  3. Step 3: Cross multiply
    9,731.54x = 14,602.08 × 6,032.79
  4. Step 4: Simplify right side
    9,731.54x = 88,091,282.20
  5. Step 5: Solve for x
    x = 88,091,282.20/9,731.54
  6. Step 6: Final answer
    x = 9,052.14

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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.