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Finding the Fourth Proportional to 9,134.10, 13,706.55 and 6,023.10

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Solution

The fourth proportional to 9,134.10, 13,706.55 and 6,023.10 is: 9,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.10 : 13,706.55 = 6,023.10 : x
  2. Step 2: Convert to fraction form
    9,134.10/13,706.55 = 6,023.10/x
  3. Step 3: Cross multiply
    9,134.10x = 13,706.55 × 6,023.10
  4. Step 4: Simplify right side
    9,134.10x = 82,555,921.31
  5. Step 5: Solve for x
    x = 82,555,921.31/9,134.10
  6. Step 6: Final answer
    x = 9,038.21

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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.