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Finding the Fourth Proportional to 6,291.34, 9,438.18 and 3,004.66

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Solution

The fourth proportional to 6,291.34, 9,438.18 and 3,004.66 is: 4,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.34 : 9,438.18 = 3,004.66 : x
  2. Step 2: Convert to fraction form
    6,291.34/9,438.18 = 3,004.66/x
  3. Step 3: Cross multiply
    6,291.34x = 9,438.18 × 3,004.66
  4. Step 4: Simplify right side
    6,291.34x = 28,358,521.92
  5. Step 5: Solve for x
    x = 28,358,521.92/6,291.34
  6. Step 6: Final answer
    x = 4,507.55

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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.