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Finding the Fourth Proportional to 9,034.06, 12,468.10 and 5,497.78

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Solution

The fourth proportional to 9,034.06, 12,468.10 and 5,497.78 is: 7,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.06 : 12,468.10 = 5,497.78 : x
  2. Step 2: Convert to fraction form
    9,034.06/12,468.10 = 5,497.78/x
  3. Step 3: Cross multiply
    9,034.06x = 12,468.10 × 5,497.78
  4. Step 4: Simplify right side
    9,034.06x = 68,546,870.82
  5. Step 5: Solve for x
    x = 68,546,870.82/9,034.06
  6. Step 6: Final answer
    x = 7,587.60

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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.