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Finding the Fourth Proportional to 7,102.95, 9,802.25 and 3,959.20

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Solution

The fourth proportional to 7,102.95, 9,802.25 and 3,959.20 is: 5,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.95 : 9,802.25 = 3,959.20 : x
  2. Step 2: Convert to fraction form
    7,102.95/9,802.25 = 3,959.20/x
  3. Step 3: Cross multiply
    7,102.95x = 9,802.25 × 3,959.20
  4. Step 4: Simplify right side
    7,102.95x = 38,809,068.20
  5. Step 5: Solve for x
    x = 38,809,068.20/7,102.95
  6. Step 6: Final answer
    x = 5,463.80

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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.