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Finding the Fourth Proportional to 10,348.44, 15,447.53 and 9,577.48

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Solution

The fourth proportional to 10,348.44, 15,447.53 and 9,577.48 is: 14,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.44 : 15,447.53 = 9,577.48 : x
  2. Step 2: Convert to fraction form
    10,348.44/15,447.53 = 9,577.48/x
  3. Step 3: Cross multiply
    10,348.44x = 15,447.53 × 9,577.48
  4. Step 4: Simplify right side
    10,348.44x = 147,948,409.62
  5. Step 5: Solve for x
    x = 147,948,409.62/10,348.44
  6. Step 6: Final answer
    x = 14,296.69

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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.