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Finding the Fourth Proportional to 9,248.63, 12,763.11 and 5,056.88

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Solution

The fourth proportional to 9,248.63, 12,763.11 and 5,056.88 is: 6,978.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.63 : 12,763.11 = 5,056.88 : x
  2. Step 2: Convert to fraction form
    9,248.63/12,763.11 = 5,056.88/x
  3. Step 3: Cross multiply
    9,248.63x = 12,763.11 × 5,056.88
  4. Step 4: Simplify right side
    9,248.63x = 64,541,426.60
  5. Step 5: Solve for x
    x = 64,541,426.60/9,248.63
  6. Step 6: Final answer
    x = 6,978.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.