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Finding the Fourth Proportional to 9,041.97, 12,478.61 and 5,214.23

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Solution

The fourth proportional to 9,041.97, 12,478.61 and 5,214.23 is: 7,196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.97 : 12,478.61 = 5,214.23 : x
  2. Step 2: Convert to fraction form
    9,041.97/12,478.61 = 5,214.23/x
  3. Step 3: Cross multiply
    9,041.97x = 12,478.61 × 5,214.23
  4. Step 4: Simplify right side
    9,041.97x = 65,066,254.16
  5. Step 5: Solve for x
    x = 65,066,254.16/9,041.97
  6. Step 6: Final answer
    x = 7,196.03

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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.