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Finding the Fourth Proportional to 9,873.66, 13,625.42 and 5,397.32

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Solution

The fourth proportional to 9,873.66, 13,625.42 and 5,397.32 is: 7,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.66 : 13,625.42 = 5,397.32 : x
  2. Step 2: Convert to fraction form
    9,873.66/13,625.42 = 5,397.32/x
  3. Step 3: Cross multiply
    9,873.66x = 13,625.42 × 5,397.32
  4. Step 4: Simplify right side
    9,873.66x = 73,540,751.87
  5. Step 5: Solve for x
    x = 73,540,751.87/9,873.66
  6. Step 6: Final answer
    x = 7,448.18

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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.