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Finding the Fourth Proportional to 7,109.13, 9,810.48 and 3,922.74

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Solution

The fourth proportional to 7,109.13, 9,810.48 and 3,922.74 is: 5,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.13 : 9,810.48 = 3,922.74 : x
  2. Step 2: Convert to fraction form
    7,109.13/9,810.48 = 3,922.74/x
  3. Step 3: Cross multiply
    7,109.13x = 9,810.48 × 3,922.74
  4. Step 4: Simplify right side
    7,109.13x = 38,483,962.32
  5. Step 5: Solve for x
    x = 38,483,962.32/7,109.13
  6. Step 6: Final answer
    x = 5,413.32

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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.