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Finding the Fourth Proportional to 6,460.36, 9,691.56 and 2,762.61

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Solution

The fourth proportional to 6,460.36, 9,691.56 and 2,762.61 is: 4,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.36 : 9,691.56 = 2,762.61 : x
  2. Step 2: Convert to fraction form
    6,460.36/9,691.56 = 2,762.61/x
  3. Step 3: Cross multiply
    6,460.36x = 9,691.56 × 2,762.61
  4. Step 4: Simplify right side
    6,460.36x = 26,773,986.76
  5. Step 5: Solve for x
    x = 26,773,986.76/6,460.36
  6. Step 6: Final answer
    x = 4,144.35

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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.