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Finding the Fourth Proportional to 9,101.36, 12,559.56 and 5,564.72

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Solution

The fourth proportional to 9,101.36, 12,559.56 and 5,564.72 is: 7,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.36 : 12,559.56 = 5,564.72 : x
  2. Step 2: Convert to fraction form
    9,101.36/12,559.56 = 5,564.72/x
  3. Step 3: Cross multiply
    9,101.36x = 12,559.56 × 5,564.72
  4. Step 4: Simplify right side
    9,101.36x = 69,890,434.72
  5. Step 5: Solve for x
    x = 69,890,434.72/9,101.36
  6. Step 6: Final answer
    x = 7,679.12

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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.