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Finding the Fourth Proportional to 9,127.58, 12,595.78 and 5,148.64

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Solution

The fourth proportional to 9,127.58, 12,595.78 and 5,148.64 is: 7,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.58 : 12,595.78 = 5,148.64 : x
  2. Step 2: Convert to fraction form
    9,127.58/12,595.78 = 5,148.64/x
  3. Step 3: Cross multiply
    9,127.58x = 12,595.78 × 5,148.64
  4. Step 4: Simplify right side
    9,127.58x = 64,851,092.38
  5. Step 5: Solve for x
    x = 64,851,092.38/9,127.58
  6. Step 6: Final answer
    x = 7,104.96

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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.