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Finding the Fourth Proportional to 9,657.04, 14,487.68 and 5,499

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Solution

The fourth proportional to 9,657.04, 14,487.68 and 5,499 is: 8,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.04 : 14,487.68 = 5,499 : x
  2. Step 2: Convert to fraction form
    9,657.04/14,487.68 = 5,499/x
  3. Step 3: Cross multiply
    9,657.04x = 14,487.68 × 5,499
  4. Step 4: Simplify right side
    9,657.04x = 79,667,752.32
  5. Step 5: Solve for x
    x = 79,667,752.32/9,657.04
  6. Step 6: Final answer
    x = 8,249.71

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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.