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Finding the Fourth Proportional to 6,402.26, 8,833.11 and 4,307.60

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Solution

The fourth proportional to 6,402.26, 8,833.11 and 4,307.60 is: 5,943.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.26 : 8,833.11 = 4,307.60 : x
  2. Step 2: Convert to fraction form
    6,402.26/8,833.11 = 4,307.60/x
  3. Step 3: Cross multiply
    6,402.26x = 8,833.11 × 4,307.60
  4. Step 4: Simplify right side
    6,402.26x = 38,049,504.64
  5. Step 5: Solve for x
    x = 38,049,504.64/6,402.26
  6. Step 6: Final answer
    x = 5,943.14

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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.