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Finding the Fourth Proportional to 9,342, 12,888.18 and 5,985.36

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Solution

The fourth proportional to 9,342, 12,888.18 and 5,985.36 is: 8,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342 : 12,888.18 = 5,985.36 : x
  2. Step 2: Convert to fraction form
    9,342/12,888.18 = 5,985.36/x
  3. Step 3: Cross multiply
    9,342x = 12,888.18 × 5,985.36
  4. Step 4: Simplify right side
    9,342x = 77,140,397.04
  5. Step 5: Solve for x
    x = 77,140,397.04/9,342
  6. Step 6: Final answer
    x = 8,257.37

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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.