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Finding the Fourth Proportional to 6,506.72, 9,758.05 and 2,346.18

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Solution

The fourth proportional to 6,506.72, 9,758.05 and 2,346.18 is: 3,518.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.72 : 9,758.05 = 2,346.18 : x
  2. Step 2: Convert to fraction form
    6,506.72/9,758.05 = 2,346.18/x
  3. Step 3: Cross multiply
    6,506.72x = 9,758.05 × 2,346.18
  4. Step 4: Simplify right side
    6,506.72x = 22,894,194.82
  5. Step 5: Solve for x
    x = 22,894,194.82/6,506.72
  6. Step 6: Final answer
    x = 3,518.55

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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.