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Finding the Fourth Proportional to 7,242.22, 9,994.32 and 4,258.18

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Solution

The fourth proportional to 7,242.22, 9,994.32 and 4,258.18 is: 5,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.22 : 9,994.32 = 4,258.18 : x
  2. Step 2: Convert to fraction form
    7,242.22/9,994.32 = 4,258.18/x
  3. Step 3: Cross multiply
    7,242.22x = 9,994.32 × 4,258.18
  4. Step 4: Simplify right side
    7,242.22x = 42,557,613.54
  5. Step 5: Solve for x
    x = 42,557,613.54/7,242.22
  6. Step 6: Final answer
    x = 5,876.32

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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.