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Finding the Fourth Proportional to 9,041.96, 12,478.19 and 5,063.18

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Solution

The fourth proportional to 9,041.96, 12,478.19 and 5,063.18 is: 6,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.96 : 12,478.19 = 5,063.18 : x
  2. Step 2: Convert to fraction form
    9,041.96/12,478.19 = 5,063.18/x
  3. Step 3: Cross multiply
    9,041.96x = 12,478.19 × 5,063.18
  4. Step 4: Simplify right side
    9,041.96x = 63,179,234.34
  5. Step 5: Solve for x
    x = 63,179,234.34/9,041.96
  6. Step 6: Final answer
    x = 6,987.34

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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.