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Finding the Fourth Proportional to 12,562.96, 17,337.48 and 6,974

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Solution

The fourth proportional to 12,562.96, 17,337.48 and 6,974 is: 9,624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,562.96 : 17,337.48 = 6,974 : x
  2. Step 2: Convert to fraction form
    12,562.96/17,337.48 = 6,974/x
  3. Step 3: Cross multiply
    12,562.96x = 17,337.48 × 6,974
  4. Step 4: Simplify right side
    12,562.96x = 120,911,585.52
  5. Step 5: Solve for x
    x = 120,911,585.52/12,562.96
  6. Step 6: Final answer
    x = 9,624.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.