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Finding the Fourth Proportional to 9,854.49, 13,610.51 and 7,177.64

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Solution

The fourth proportional to 9,854.49, 13,610.51 and 7,177.64 is: 9,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.49 : 13,610.51 = 7,177.64 : x
  2. Step 2: Convert to fraction form
    9,854.49/13,610.51 = 7,177.64/x
  3. Step 3: Cross multiply
    9,854.49x = 13,610.51 × 7,177.64
  4. Step 4: Simplify right side
    9,854.49x = 97,691,342.63
  5. Step 5: Solve for x
    x = 97,691,342.63/9,854.49
  6. Step 6: Final answer
    x = 9,913.38

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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.