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Finding the Fourth Proportional to 9,082.64, 13,615.36 and 4,149.36

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Solution

The fourth proportional to 9,082.64, 13,615.36 and 4,149.36 is: 6,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.64 : 13,615.36 = 4,149.36 : x
  2. Step 2: Convert to fraction form
    9,082.64/13,615.36 = 4,149.36/x
  3. Step 3: Cross multiply
    9,082.64x = 13,615.36 × 4,149.36
  4. Step 4: Simplify right side
    9,082.64x = 56,495,030.17
  5. Step 5: Solve for x
    x = 56,495,030.17/9,082.64
  6. Step 6: Final answer
    x = 6,220.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.