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Finding the Fourth Proportional to 9,170.13, 12,654.59 and 4,978.38

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Solution

The fourth proportional to 9,170.13, 12,654.59 and 4,978.38 is: 6,870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.13 : 12,654.59 = 4,978.38 : x
  2. Step 2: Convert to fraction form
    9,170.13/12,654.59 = 4,978.38/x
  3. Step 3: Cross multiply
    9,170.13x = 12,654.59 × 4,978.38
  4. Step 4: Simplify right side
    9,170.13x = 62,999,357.76
  5. Step 5: Solve for x
    x = 62,999,357.76/9,170.13
  6. Step 6: Final answer
    x = 6,870.06

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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.