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Finding the Fourth Proportional to 10,423.85, 14,387.14 and 6,646.14

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Solution

The fourth proportional to 10,423.85, 14,387.14 and 6,646.14 is: 9,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.85 : 14,387.14 = 6,646.14 : x
  2. Step 2: Convert to fraction form
    10,423.85/14,387.14 = 6,646.14/x
  3. Step 3: Cross multiply
    10,423.85x = 14,387.14 × 6,646.14
  4. Step 4: Simplify right side
    10,423.85x = 95,618,946.64
  5. Step 5: Solve for x
    x = 95,618,946.64/10,423.85
  6. Step 6: Final answer
    x = 9,173.10

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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.