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Finding the Fourth Proportional to 9,023.10, 13,534.65 and 8,634.30

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Solution

The fourth proportional to 9,023.10, 13,534.65 and 8,634.30 is: 12,951.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.10 : 13,534.65 = 8,634.30 : x
  2. Step 2: Convert to fraction form
    9,023.10/13,534.65 = 8,634.30/x
  3. Step 3: Cross multiply
    9,023.10x = 13,534.65 × 8,634.30
  4. Step 4: Simplify right side
    9,023.10x = 116,862,228.50
  5. Step 5: Solve for x
    x = 116,862,228.50/9,023.10
  6. Step 6: Final answer
    x = 12,951.45

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Why These Related Problems?

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