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Finding the Fourth Proportional to 9,402.50, 12,975.45 and 5,211.02

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Solution

The fourth proportional to 9,402.50, 12,975.45 and 5,211.02 is: 7,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.50 : 12,975.45 = 5,211.02 : x
  2. Step 2: Convert to fraction form
    9,402.50/12,975.45 = 5,211.02/x
  3. Step 3: Cross multiply
    9,402.50x = 12,975.45 × 5,211.02
  4. Step 4: Simplify right side
    9,402.50x = 67,615,329.46
  5. Step 5: Solve for x
    x = 67,615,329.46/9,402.50
  6. Step 6: Final answer
    x = 7,191.21

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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.