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Finding the Fourth Proportional to 9,034.54, 12,468.81 and 5,497.54

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Solution

The fourth proportional to 9,034.54, 12,468.81 and 5,497.54 is: 7,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.54 : 12,468.81 = 5,497.54 : x
  2. Step 2: Convert to fraction form
    9,034.54/12,468.81 = 5,497.54/x
  3. Step 3: Cross multiply
    9,034.54x = 12,468.81 × 5,497.54
  4. Step 4: Simplify right side
    9,034.54x = 68,547,781.73
  5. Step 5: Solve for x
    x = 68,547,781.73/9,034.54
  6. Step 6: Final answer
    x = 7,587.30

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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.