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Finding the Fourth Proportional to 9,301.92, 13,952.88 and 3,460

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Solution

The fourth proportional to 9,301.92, 13,952.88 and 3,460 is: 5,190

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.92 : 13,952.88 = 3,460 : x
  2. Step 2: Convert to fraction form
    9,301.92/13,952.88 = 3,460/x
  3. Step 3: Cross multiply
    9,301.92x = 13,952.88 × 3,460
  4. Step 4: Simplify right side
    9,301.92x = 48,276,964.80
  5. Step 5: Solve for x
    x = 48,276,964.80/9,301.92
  6. Step 6: Final answer
    x = 5,190

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.