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Finding the Fourth Proportional to 9,248.38, 12,762.70 and 5,056.63

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Solution

The fourth proportional to 9,248.38, 12,762.70 and 5,056.63 is: 6,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.38 : 12,762.70 = 5,056.63 : x
  2. Step 2: Convert to fraction form
    9,248.38/12,762.70 = 5,056.63/x
  3. Step 3: Cross multiply
    9,248.38x = 12,762.70 × 5,056.63
  4. Step 4: Simplify right side
    9,248.38x = 64,536,207.15
  5. Step 5: Solve for x
    x = 64,536,207.15/9,248.38
  6. Step 6: Final answer
    x = 6,978.11

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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.