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Finding the Fourth Proportional to 10,142.73, 15,218.64 and 6,444

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Solution

The fourth proportional to 10,142.73, 15,218.64 and 6,444 is: 9,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,142.73 : 15,218.64 = 6,444 : x
  2. Step 2: Convert to fraction form
    10,142.73/15,218.64 = 6,444/x
  3. Step 3: Cross multiply
    10,142.73x = 15,218.64 × 6,444
  4. Step 4: Simplify right side
    10,142.73x = 98,068,916.16
  5. Step 5: Solve for x
    x = 98,068,916.16/10,142.73
  6. Step 6: Final answer
    x = 9,668.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.