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Finding the Fourth Proportional to 9,465.82, 14,207.47 and 4,789.12

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Solution

The fourth proportional to 9,465.82, 14,207.47 and 4,789.12 is: 7,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.82 : 14,207.47 = 4,789.12 : x
  2. Step 2: Convert to fraction form
    9,465.82/14,207.47 = 4,789.12/x
  3. Step 3: Cross multiply
    9,465.82x = 14,207.47 × 4,789.12
  4. Step 4: Simplify right side
    9,465.82x = 68,041,278.73
  5. Step 5: Solve for x
    x = 68,041,278.73/9,465.82
  6. Step 6: Final answer
    x = 7,188.10

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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.