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Finding the Fourth Proportional to 9,301.84, 13,952.76 and 7,654.91

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Solution

The fourth proportional to 9,301.84, 13,952.76 and 7,654.91 is: 11,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.84 : 13,952.76 = 7,654.91 : x
  2. Step 2: Convert to fraction form
    9,301.84/13,952.76 = 7,654.91/x
  3. Step 3: Cross multiply
    9,301.84x = 13,952.76 × 7,654.91
  4. Step 4: Simplify right side
    9,301.84x = 106,807,023.58
  5. Step 5: Solve for x
    x = 106,807,023.58/9,301.84
  6. Step 6: Final answer
    x = 11,482.36

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Similar ratio
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1.5x scale

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.