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Finding the Fourth Proportional to 9,077.97, 12,526.25 and 5,098.33

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Solution

The fourth proportional to 9,077.97, 12,526.25 and 5,098.33 is: 7,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.97 : 12,526.25 = 5,098.33 : x
  2. Step 2: Convert to fraction form
    9,077.97/12,526.25 = 5,098.33/x
  3. Step 3: Cross multiply
    9,077.97x = 12,526.25 × 5,098.33
  4. Step 4: Simplify right side
    9,077.97x = 63,862,875.87
  5. Step 5: Solve for x
    x = 63,862,875.87/9,077.97
  6. Step 6: Final answer
    x = 7,034.93

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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.