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Finding the Fourth Proportional to 6,254.64, 9,423.71 and 5,662.40

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Solution

The fourth proportional to 6,254.64, 9,423.71 and 5,662.40 is: 8,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.64 : 9,423.71 = 5,662.40 : x
  2. Step 2: Convert to fraction form
    6,254.64/9,423.71 = 5,662.40/x
  3. Step 3: Cross multiply
    6,254.64x = 9,423.71 × 5,662.40
  4. Step 4: Simplify right side
    6,254.64x = 53,360,815.50
  5. Step 5: Solve for x
    x = 53,360,815.50/6,254.64
  6. Step 6: Final answer
    x = 8,531.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.