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Finding the Fourth Proportional to 10,368.90, 14,229.45 and 9,712.80

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Solution

The fourth proportional to 10,368.90, 14,229.45 and 9,712.80 is: 13,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.90 : 14,229.45 = 9,712.80 : x
  2. Step 2: Convert to fraction form
    10,368.90/14,229.45 = 9,712.80/x
  3. Step 3: Cross multiply
    10,368.90x = 14,229.45 × 9,712.80
  4. Step 4: Simplify right side
    10,368.90x = 138,207,801.96
  5. Step 5: Solve for x
    x = 138,207,801.96/10,368.90
  6. Step 6: Final answer
    x = 13,329.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.