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Finding the Fourth Proportional to 9,211.25, 12,711.53 and 5,019.50

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Solution

The fourth proportional to 9,211.25, 12,711.53 and 5,019.50 is: 6,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.25 : 12,711.53 = 5,019.50 : x
  2. Step 2: Convert to fraction form
    9,211.25/12,711.53 = 5,019.50/x
  3. Step 3: Cross multiply
    9,211.25x = 12,711.53 × 5,019.50
  4. Step 4: Simplify right side
    9,211.25x = 63,805,524.84
  5. Step 5: Solve for x
    x = 63,805,524.84/9,211.25
  6. Step 6: Final answer
    x = 6,926.91

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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.