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Finding the Fourth Proportional to 9,101.10, 13,633.28 and 6,283.02

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Solution

The fourth proportional to 9,101.10, 13,633.28 and 6,283.02 is: 9,411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.10 : 13,633.28 = 6,283.02 : x
  2. Step 2: Convert to fraction form
    9,101.10/13,633.28 = 6,283.02/x
  3. Step 3: Cross multiply
    9,101.10x = 13,633.28 × 6,283.02
  4. Step 4: Simplify right side
    9,101.10x = 85,658,170.91
  5. Step 5: Solve for x
    x = 85,658,170.91/9,101.10
  6. Step 6: Final answer
    x = 9,411.85

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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.