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Finding the Fourth Proportional to 6,430.76, 9,642.86 and 2,965

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Solution

The fourth proportional to 6,430.76, 9,642.86 and 2,965 is: 4,445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.76 : 9,642.86 = 2,965 : x
  2. Step 2: Convert to fraction form
    6,430.76/9,642.86 = 2,965/x
  3. Step 3: Cross multiply
    6,430.76x = 9,642.86 × 2,965
  4. Step 4: Simplify right side
    6,430.76x = 28,591,079.90
  5. Step 5: Solve for x
    x = 28,591,079.90/6,430.76
  6. Step 6: Final answer
    x = 4,445.99

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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.