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Finding the Fourth Proportional to 6,315.78, 9,475.04 and 2,420.19

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Solution

The fourth proportional to 6,315.78, 9,475.04 and 2,420.19 is: 3,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.78 : 9,475.04 = 2,420.19 : x
  2. Step 2: Convert to fraction form
    6,315.78/9,475.04 = 2,420.19/x
  3. Step 3: Cross multiply
    6,315.78x = 9,475.04 × 2,420.19
  4. Step 4: Simplify right side
    6,315.78x = 22,931,397.06
  5. Step 5: Solve for x
    x = 22,931,397.06/6,315.78
  6. Step 6: Final answer
    x = 3,630.81

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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.