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Finding the Fourth Proportional to 9,400.50, 12,972.70 and 5,209.02

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Solution

The fourth proportional to 9,400.50, 12,972.70 and 5,209.02 is: 7,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.50 : 12,972.70 = 5,209.02 : x
  2. Step 2: Convert to fraction form
    9,400.50/12,972.70 = 5,209.02/x
  3. Step 3: Cross multiply
    9,400.50x = 12,972.70 × 5,209.02
  4. Step 4: Simplify right side
    9,400.50x = 67,575,053.75
  5. Step 5: Solve for x
    x = 67,575,053.75/9,400.50
  6. Step 6: Final answer
    x = 7,188.45

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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.