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Finding the Fourth Proportional to 7,101.36, 9,802.18 and 4,120.15

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Solution

The fourth proportional to 7,101.36, 9,802.18 and 4,120.15 is: 5,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.36 : 9,802.18 = 4,120.15 : x
  2. Step 2: Convert to fraction form
    7,101.36/9,802.18 = 4,120.15/x
  3. Step 3: Cross multiply
    7,101.36x = 9,802.18 × 4,120.15
  4. Step 4: Simplify right side
    7,101.36x = 40,386,451.93
  5. Step 5: Solve for x
    x = 40,386,451.93/7,101.36
  6. Step 6: Final answer
    x = 5,687.14

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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.