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Finding the Fourth Proportional to 9,101.14, 12,559.50 and 5,122.15

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Solution

The fourth proportional to 9,101.14, 12,559.50 and 5,122.15 is: 7,068.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.14 : 12,559.50 = 5,122.15 : x
  2. Step 2: Convert to fraction form
    9,101.14/12,559.50 = 5,122.15/x
  3. Step 3: Cross multiply
    9,101.14x = 12,559.50 × 5,122.15
  4. Step 4: Simplify right side
    9,101.14x = 64,331,611.53
  5. Step 5: Solve for x
    x = 64,331,611.53/9,101.14
  6. Step 6: Final answer
    x = 7,068.52

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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.