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Finding the Fourth Proportional to 9,248.64, 12,763.11 and 5,056.89

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Solution

The fourth proportional to 9,248.64, 12,763.11 and 5,056.89 is: 6,978.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.64 : 12,763.11 = 5,056.89 : x
  2. Step 2: Convert to fraction form
    9,248.64/12,763.11 = 5,056.89/x
  3. Step 3: Cross multiply
    9,248.64x = 12,763.11 × 5,056.89
  4. Step 4: Simplify right side
    9,248.64x = 64,541,643.33
  5. Step 5: Solve for x
    x = 64,541,643.33/9,248.64
  6. Step 6: Final answer
    x = 6,978.50

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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.