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Finding the Fourth Proportional to 6,282, 9,459.60 and 4,650.12

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Solution

The fourth proportional to 6,282, 9,459.60 and 4,650.12 is: 7,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282 : 9,459.60 = 4,650.12 : x
  2. Step 2: Convert to fraction form
    6,282/9,459.60 = 4,650.12/x
  3. Step 3: Cross multiply
    6,282x = 9,459.60 × 4,650.12
  4. Step 4: Simplify right side
    6,282x = 43,988,275.15
  5. Step 5: Solve for x
    x = 43,988,275.15/6,282
  6. Step 6: Final answer
    x = 7,002.27

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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.