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Finding the Fourth Proportional to 6,176.34, 9,265.88 and 2,428.48

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Solution

The fourth proportional to 6,176.34, 9,265.88 and 2,428.48 is: 3,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.34 : 9,265.88 = 2,428.48 : x
  2. Step 2: Convert to fraction form
    6,176.34/9,265.88 = 2,428.48/x
  3. Step 3: Cross multiply
    6,176.34x = 9,265.88 × 2,428.48
  4. Step 4: Simplify right side
    6,176.34x = 22,501,957.93
  5. Step 5: Solve for x
    x = 22,501,957.93/6,176.34
  6. Step 6: Final answer
    x = 3,643.25

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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.