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Finding the Fourth Proportional to 7,102.89, 9,802.32 and 3,959.10

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Solution

The fourth proportional to 7,102.89, 9,802.32 and 3,959.10 is: 5,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.89 : 9,802.32 = 3,959.10 : x
  2. Step 2: Convert to fraction form
    7,102.89/9,802.32 = 3,959.10/x
  3. Step 3: Cross multiply
    7,102.89x = 9,802.32 × 3,959.10
  4. Step 4: Simplify right side
    7,102.89x = 38,808,365.11
  5. Step 5: Solve for x
    x = 38,808,365.11/7,102.89
  6. Step 6: Final answer
    x = 5,463.74

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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.