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Finding the Fourth Proportional to 9,703.75, 14,557.78 and 5,318.95

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Solution

The fourth proportional to 9,703.75, 14,557.78 and 5,318.95 is: 7,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.75 : 14,557.78 = 5,318.95 : x
  2. Step 2: Convert to fraction form
    9,703.75/14,557.78 = 5,318.95/x
  3. Step 3: Cross multiply
    9,703.75x = 14,557.78 × 5,318.95
  4. Step 4: Simplify right side
    9,703.75x = 77,432,103.93
  5. Step 5: Solve for x
    x = 77,432,103.93/9,703.75
  6. Step 6: Final answer
    x = 7,979.61

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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.