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Finding the Fourth Proportional to 9,409.72, 12,985.50 and 5,217.88

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Solution

The fourth proportional to 9,409.72, 12,985.50 and 5,217.88 is: 7,200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.72 : 12,985.50 = 5,217.88 : x
  2. Step 2: Convert to fraction form
    9,409.72/12,985.50 = 5,217.88/x
  3. Step 3: Cross multiply
    9,409.72x = 12,985.50 × 5,217.88
  4. Step 4: Simplify right side
    9,409.72x = 67,756,780.74
  5. Step 5: Solve for x
    x = 67,756,780.74/9,409.72
  6. Step 6: Final answer
    x = 7,200.72

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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.