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Finding the Fourth Proportional to 9,142.16, 12,615.29 and 7,258.29

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Solution

The fourth proportional to 9,142.16, 12,615.29 and 7,258.29 is: 10,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.16 : 12,615.29 = 7,258.29 : x
  2. Step 2: Convert to fraction form
    9,142.16/12,615.29 = 7,258.29/x
  3. Step 3: Cross multiply
    9,142.16x = 12,615.29 × 7,258.29
  4. Step 4: Simplify right side
    9,142.16x = 91,565,396.96
  5. Step 5: Solve for x
    x = 91,565,396.96/9,142.16
  6. Step 6: Final answer
    x = 10,015.73

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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.