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Finding the Fourth Proportional to 6,969.12, 9,612.42 and 4,614.48

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Solution

The fourth proportional to 6,969.12, 9,612.42 and 4,614.48 is: 6,364.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.12 : 9,612.42 = 4,614.48 : x
  2. Step 2: Convert to fraction form
    6,969.12/9,612.42 = 4,614.48/x
  3. Step 3: Cross multiply
    6,969.12x = 9,612.42 × 4,614.48
  4. Step 4: Simplify right side
    6,969.12x = 44,356,319.84
  5. Step 5: Solve for x
    x = 44,356,319.84/6,969.12
  6. Step 6: Final answer
    x = 6,364.69

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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.