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Finding the Fourth Proportional to 10,443.25, 14,414.93 and 6,717.25

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Solution

The fourth proportional to 10,443.25, 14,414.93 and 6,717.25 is: 9,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.25 : 14,414.93 = 6,717.25 : x
  2. Step 2: Convert to fraction form
    10,443.25/14,414.93 = 6,717.25/x
  3. Step 3: Cross multiply
    10,443.25x = 14,414.93 × 6,717.25
  4. Step 4: Simplify right side
    10,443.25x = 96,828,688.54
  5. Step 5: Solve for x
    x = 96,828,688.54/10,443.25
  6. Step 6: Final answer
    x = 9,271.89

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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.