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Finding the Fourth Proportional to 8,697.42, 13,038.32 and 3,149.46

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Solution

The fourth proportional to 8,697.42, 13,038.32 and 3,149.46 is: 4,721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.42 : 13,038.32 = 3,149.46 : x
  2. Step 2: Convert to fraction form
    8,697.42/13,038.32 = 3,149.46/x
  3. Step 3: Cross multiply
    8,697.42x = 13,038.32 × 3,149.46
  4. Step 4: Simplify right side
    8,697.42x = 41,063,667.31
  5. Step 5: Solve for x
    x = 41,063,667.31/8,697.42
  6. Step 6: Final answer
    x = 4,721.36

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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.