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Finding the Fourth Proportional to 7,104.78, 9,802.62 and 4,120.02

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Solution

The fourth proportional to 7,104.78, 9,802.62 and 4,120.02 is: 5,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.78 : 9,802.62 = 4,120.02 : x
  2. Step 2: Convert to fraction form
    7,104.78/9,802.62 = 4,120.02/x
  3. Step 3: Cross multiply
    7,104.78x = 9,802.62 × 4,120.02
  4. Step 4: Simplify right side
    7,104.78x = 40,386,990.45
  5. Step 5: Solve for x
    x = 40,386,990.45/7,104.78
  6. Step 6: Final answer
    x = 5,684.48

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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.