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Finding the Fourth Proportional to 9,649.09, 14,472.65 and 6,549.02

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Solution

The fourth proportional to 9,649.09, 14,472.65 and 6,549.02 is: 9,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.09 : 14,472.65 = 6,549.02 : x
  2. Step 2: Convert to fraction form
    9,649.09/14,472.65 = 6,549.02/x
  3. Step 3: Cross multiply
    9,649.09x = 14,472.65 × 6,549.02
  4. Step 4: Simplify right side
    9,649.09x = 94,781,674.30
  5. Step 5: Solve for x
    x = 94,781,674.30/9,649.09
  6. Step 6: Final answer
    x = 9,822.86

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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.