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Finding the Fourth Proportional to 9,211.76, 12,712.80 and 5,437.16

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Solution

The fourth proportional to 9,211.76, 12,712.80 and 5,437.16 is: 7,503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.76 : 12,712.80 = 5,437.16 : x
  2. Step 2: Convert to fraction form
    9,211.76/12,712.80 = 5,437.16/x
  3. Step 3: Cross multiply
    9,211.76x = 12,712.80 × 5,437.16
  4. Step 4: Simplify right side
    9,211.76x = 69,121,527.65
  5. Step 5: Solve for x
    x = 69,121,527.65/9,211.76
  6. Step 6: Final answer
    x = 7,503.62

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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.