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Finding the Fourth Proportional to 9,371.60, 12,937.02 and 5,970.08

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Solution

The fourth proportional to 9,371.60, 12,937.02 and 5,970.08 is: 8,241.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371.60 : 12,937.02 = 5,970.08 : x
  2. Step 2: Convert to fraction form
    9,371.60/12,937.02 = 5,970.08/x
  3. Step 3: Cross multiply
    9,371.60x = 12,937.02 × 5,970.08
  4. Step 4: Simplify right side
    9,371.60x = 77,235,044.36
  5. Step 5: Solve for x
    x = 77,235,044.36/9,371.60
  6. Step 6: Final answer
    x = 8,241.39

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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.