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Finding the Fourth Proportional to 9,482.64, 14,218.56 and 2,906.88

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Solution

The fourth proportional to 9,482.64, 14,218.56 and 2,906.88 is: 4,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.64 : 14,218.56 = 2,906.88 : x
  2. Step 2: Convert to fraction form
    9,482.64/14,218.56 = 2,906.88/x
  3. Step 3: Cross multiply
    9,482.64x = 14,218.56 × 2,906.88
  4. Step 4: Simplify right side
    9,482.64x = 41,331,647.69
  5. Step 5: Solve for x
    x = 41,331,647.69/9,482.64
  6. Step 6: Final answer
    x = 4,358.66

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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.