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Finding the Fourth Proportional to 9,488.13, 14,234.01 and 4,294

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Solution

The fourth proportional to 9,488.13, 14,234.01 and 4,294 is: 6,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.13 : 14,234.01 = 4,294 : x
  2. Step 2: Convert to fraction form
    9,488.13/14,234.01 = 4,294/x
  3. Step 3: Cross multiply
    9,488.13x = 14,234.01 × 4,294
  4. Step 4: Simplify right side
    9,488.13x = 61,120,838.94
  5. Step 5: Solve for x
    x = 61,120,838.94/9,488.13
  6. Step 6: Final answer
    x = 6,441.82

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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.