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Finding the Fourth Proportional to 9,077.05, 12,527.42 and 5,098.53

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Solution

The fourth proportional to 9,077.05, 12,527.42 and 5,098.53 is: 7,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.05 : 12,527.42 = 5,098.53 : x
  2. Step 2: Convert to fraction form
    9,077.05/12,527.42 = 5,098.53/x
  3. Step 3: Cross multiply
    9,077.05x = 12,527.42 × 5,098.53
  4. Step 4: Simplify right side
    9,077.05x = 63,871,426.69
  5. Step 5: Solve for x
    x = 63,871,426.69/9,077.05
  6. Step 6: Final answer
    x = 7,036.58

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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.