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Finding the Fourth Proportional to 7,138.32, 9,851.40 and 4,154.28

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Solution

The fourth proportional to 7,138.32, 9,851.40 and 4,154.28 is: 5,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.32 : 9,851.40 = 4,154.28 : x
  2. Step 2: Convert to fraction form
    7,138.32/9,851.40 = 4,154.28/x
  3. Step 3: Cross multiply
    7,138.32x = 9,851.40 × 4,154.28
  4. Step 4: Simplify right side
    7,138.32x = 40,925,473.99
  5. Step 5: Solve for x
    x = 40,925,473.99/7,138.32
  6. Step 6: Final answer
    x = 5,733.21

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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.