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Finding the Fourth Proportional to 9,212.45, 13,818.76 and 5,712.65

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Solution

The fourth proportional to 9,212.45, 13,818.76 and 5,712.65 is: 8,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.45 : 13,818.76 = 5,712.65 : x
  2. Step 2: Convert to fraction form
    9,212.45/13,818.76 = 5,712.65/x
  3. Step 3: Cross multiply
    9,212.45x = 13,818.76 × 5,712.65
  4. Step 4: Simplify right side
    9,212.45x = 78,941,655.94
  5. Step 5: Solve for x
    x = 78,941,655.94/9,212.45
  6. Step 6: Final answer
    x = 8,569.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.