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Finding the Fourth Proportional to 9,649.08, 14,473.62 and 5,486.76

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Solution

The fourth proportional to 9,649.08, 14,473.62 and 5,486.76 is: 8,230.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.08 : 14,473.62 = 5,486.76 : x
  2. Step 2: Convert to fraction form
    9,649.08/14,473.62 = 5,486.76/x
  3. Step 3: Cross multiply
    9,649.08x = 14,473.62 × 5,486.76
  4. Step 4: Simplify right side
    9,649.08x = 79,413,279.27
  5. Step 5: Solve for x
    x = 79,413,279.27/9,649.08
  6. Step 6: Final answer
    x = 8,230.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.