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Finding the Fourth Proportional to 9,657.19, 13,327.10 and 5,678.47

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Solution

The fourth proportional to 9,657.19, 13,327.10 and 5,678.47 is: 7,836.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.19 : 13,327.10 = 5,678.47 : x
  2. Step 2: Convert to fraction form
    9,657.19/13,327.10 = 5,678.47/x
  3. Step 3: Cross multiply
    9,657.19x = 13,327.10 × 5,678.47
  4. Step 4: Simplify right side
    9,657.19x = 75,677,537.54
  5. Step 5: Solve for x
    x = 75,677,537.54/9,657.19
  6. Step 6: Final answer
    x = 7,836.39

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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.