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Finding the Fourth Proportional to 9,293.16, 12,824.46 and 5,044.23

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Solution

The fourth proportional to 9,293.16, 12,824.46 and 5,044.23 is: 6,960.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.16 : 12,824.46 = 5,044.23 : x
  2. Step 2: Convert to fraction form
    9,293.16/12,824.46 = 5,044.23/x
  3. Step 3: Cross multiply
    9,293.16x = 12,824.46 × 5,044.23
  4. Step 4: Simplify right side
    9,293.16x = 64,689,525.87
  5. Step 5: Solve for x
    x = 64,689,525.87/9,293.16
  6. Step 6: Final answer
    x = 6,960.98

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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.