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Finding the Fourth Proportional to 9,522.69, 13,139.19 and 5,746.47

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Solution

The fourth proportional to 9,522.69, 13,139.19 and 5,746.47 is: 7,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.69 : 13,139.19 = 5,746.47 : x
  2. Step 2: Convert to fraction form
    9,522.69/13,139.19 = 5,746.47/x
  3. Step 3: Cross multiply
    9,522.69x = 13,139.19 × 5,746.47
  4. Step 4: Simplify right side
    9,522.69x = 75,503,961.16
  5. Step 5: Solve for x
    x = 75,503,961.16/9,522.69
  6. Step 6: Final answer
    x = 7,928.85

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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.