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Finding the Fourth Proportional to 9,101.81, 12,560.52 and 5,122.98

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Solution

The fourth proportional to 9,101.81, 12,560.52 and 5,122.98 is: 7,069.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.81 : 12,560.52 = 5,122.98 : x
  2. Step 2: Convert to fraction form
    9,101.81/12,560.52 = 5,122.98/x
  3. Step 3: Cross multiply
    9,101.81x = 12,560.52 × 5,122.98
  4. Step 4: Simplify right side
    9,101.81x = 64,347,292.75
  5. Step 5: Solve for x
    x = 64,347,292.75/9,101.81
  6. Step 6: Final answer
    x = 7,069.72

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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.