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Finding the Fourth Proportional to 9,655.62, 13,322.60 and 5,880.76

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Solution

The fourth proportional to 9,655.62, 13,322.60 and 5,880.76 is: 8,114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.62 : 13,322.60 = 5,880.76 : x
  2. Step 2: Convert to fraction form
    9,655.62/13,322.60 = 5,880.76/x
  3. Step 3: Cross multiply
    9,655.62x = 13,322.60 × 5,880.76
  4. Step 4: Simplify right side
    9,655.62x = 78,347,013.18
  5. Step 5: Solve for x
    x = 78,347,013.18/9,655.62
  6. Step 6: Final answer
    x = 8,114.14

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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.