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Finding the Fourth Proportional to 10,386.98, 14,329.92 and 6,609.14

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Solution

The fourth proportional to 10,386.98, 14,329.92 and 6,609.14 is: 9,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.98 : 14,329.92 = 6,609.14 : x
  2. Step 2: Convert to fraction form
    10,386.98/14,329.92 = 6,609.14/x
  3. Step 3: Cross multiply
    10,386.98x = 14,329.92 × 6,609.14
  4. Step 4: Simplify right side
    10,386.98x = 94,708,447.47
  5. Step 5: Solve for x
    x = 94,708,447.47/10,386.98
  6. Step 6: Final answer
    x = 9,118.00

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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.