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Finding the Fourth Proportional to 10,423.29, 14,386.67 and 6,442

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Solution

The fourth proportional to 10,423.29, 14,386.67 and 6,442 is: 8,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.29 : 14,386.67 = 6,442 : x
  2. Step 2: Convert to fraction form
    10,423.29/14,386.67 = 6,442/x
  3. Step 3: Cross multiply
    10,423.29x = 14,386.67 × 6,442
  4. Step 4: Simplify right side
    10,423.29x = 92,678,928.14
  5. Step 5: Solve for x
    x = 92,678,928.14/10,423.29
  6. Step 6: Final answer
    x = 8,891.52

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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.