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Finding the Fourth Proportional to 9,077.80, 12,527.30 and 5,098.84

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Solution

The fourth proportional to 9,077.80, 12,527.30 and 5,098.84 is: 7,036.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.80 : 12,527.30 = 5,098.84 : x
  2. Step 2: Convert to fraction form
    9,077.80/12,527.30 = 5,098.84/x
  3. Step 3: Cross multiply
    9,077.80x = 12,527.30 × 5,098.84
  4. Step 4: Simplify right side
    9,077.80x = 63,874,698.33
  5. Step 5: Solve for x
    x = 63,874,698.33/9,077.80
  6. Step 6: Final answer
    x = 7,036.36

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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.