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Finding the Fourth Proportional to 9,538.76, 13,152.42 and 8,948.36

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Solution

The fourth proportional to 9,538.76, 13,152.42 and 8,948.36 is: 12,338.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.76 : 13,152.42 = 8,948.36 : x
  2. Step 2: Convert to fraction form
    9,538.76/13,152.42 = 8,948.36/x
  3. Step 3: Cross multiply
    9,538.76x = 13,152.42 × 8,948.36
  4. Step 4: Simplify right side
    9,538.76x = 117,692,589.03
  5. Step 5: Solve for x
    x = 117,692,589.03/9,538.76
  6. Step 6: Final answer
    x = 12,338.35

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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.