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Finding the Fourth Proportional to 9,657.88, 14,499 and 8,349.96

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Solution

The fourth proportional to 9,657.88, 14,499 and 8,349.96 is: 12,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.88 : 14,499 = 8,349.96 : x
  2. Step 2: Convert to fraction form
    9,657.88/14,499 = 8,349.96/x
  3. Step 3: Cross multiply
    9,657.88x = 14,499 × 8,349.96
  4. Step 4: Simplify right side
    9,657.88x = 121,066,070.04
  5. Step 5: Solve for x
    x = 121,066,070.04/9,657.88
  6. Step 6: Final answer
    x = 12,535.47

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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.