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Finding the Fourth Proportional to 9,101.88, 12,557.76 and 5,561.28

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Solution

The fourth proportional to 9,101.88, 12,557.76 and 5,561.28 is: 7,672.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.88 : 12,557.76 = 5,561.28 : x
  2. Step 2: Convert to fraction form
    9,101.88/12,557.76 = 5,561.28/x
  3. Step 3: Cross multiply
    9,101.88x = 12,557.76 × 5,561.28
  4. Step 4: Simplify right side
    9,101.88x = 69,837,219.53
  5. Step 5: Solve for x
    x = 69,837,219.53/9,101.88
  6. Step 6: Final answer
    x = 7,672.83

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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.