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Finding the Fourth Proportional to 10,326.85, 14,218.68 and 9,114.28

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Solution

The fourth proportional to 10,326.85, 14,218.68 and 9,114.28 is: 12,549.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.85 : 14,218.68 = 9,114.28 : x
  2. Step 2: Convert to fraction form
    10,326.85/14,218.68 = 9,114.28/x
  3. Step 3: Cross multiply
    10,326.85x = 14,218.68 × 9,114.28
  4. Step 4: Simplify right side
    10,326.85x = 129,593,030.75
  5. Step 5: Solve for x
    x = 129,593,030.75/10,326.85
  6. Step 6: Final answer
    x = 12,549.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.