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Finding the Fourth Proportional to 9,612.16, 13,265.06 and 5,633.44

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Solution

The fourth proportional to 9,612.16, 13,265.06 and 5,633.44 is: 7,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.16 : 13,265.06 = 5,633.44 : x
  2. Step 2: Convert to fraction form
    9,612.16/13,265.06 = 5,633.44/x
  3. Step 3: Cross multiply
    9,612.16x = 13,265.06 × 5,633.44
  4. Step 4: Simplify right side
    9,612.16x = 74,727,919.61
  5. Step 5: Solve for x
    x = 74,727,919.61/9,612.16
  6. Step 6: Final answer
    x = 7,774.31

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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.