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Finding the Fourth Proportional to 9,101.84, 12,560.54 and 5,122.98

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Solution

The fourth proportional to 9,101.84, 12,560.54 and 5,122.98 is: 7,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.84 : 12,560.54 = 5,122.98 : x
  2. Step 2: Convert to fraction form
    9,101.84/12,560.54 = 5,122.98/x
  3. Step 3: Cross multiply
    9,101.84x = 12,560.54 × 5,122.98
  4. Step 4: Simplify right side
    9,101.84x = 64,347,369.59
  5. Step 5: Solve for x
    x = 64,347,369.59/9,101.84
  6. Step 6: Final answer
    x = 7,069.71

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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.