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Finding the Fourth Proportional to 6,265.34, 8,646.45 and 3,470.66

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Solution

The fourth proportional to 6,265.34, 8,646.45 and 3,470.66 is: 4,789.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.34 : 8,646.45 = 3,470.66 : x
  2. Step 2: Convert to fraction form
    6,265.34/8,646.45 = 3,470.66/x
  3. Step 3: Cross multiply
    6,265.34x = 8,646.45 × 3,470.66
  4. Step 4: Simplify right side
    6,265.34x = 30,008,888.16
  5. Step 5: Solve for x
    x = 30,008,888.16/6,265.34
  6. Step 6: Final answer
    x = 4,789.67

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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.