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Finding the Fourth Proportional to 9,508.48, 14,172.88 and 9,040.60

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Solution

The fourth proportional to 9,508.48, 14,172.88 and 9,040.60 is: 13,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.48 : 14,172.88 = 9,040.60 : x
  2. Step 2: Convert to fraction form
    9,508.48/14,172.88 = 9,040.60/x
  3. Step 3: Cross multiply
    9,508.48x = 14,172.88 × 9,040.60
  4. Step 4: Simplify right side
    9,508.48x = 128,131,338.93
  5. Step 5: Solve for x
    x = 128,131,338.93/9,508.48
  6. Step 6: Final answer
    x = 13,475.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.