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Finding the Fourth Proportional to 10,335.48, 14,266.14 and 9,806.49

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Solution

The fourth proportional to 10,335.48, 14,266.14 and 9,806.49 is: 13,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.48 : 14,266.14 = 9,806.49 : x
  2. Step 2: Convert to fraction form
    10,335.48/14,266.14 = 9,806.49/x
  3. Step 3: Cross multiply
    10,335.48x = 14,266.14 × 9,806.49
  4. Step 4: Simplify right side
    10,335.48x = 139,900,759.25
  5. Step 5: Solve for x
    x = 139,900,759.25/10,335.48
  6. Step 6: Final answer
    x = 13,535.97

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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.