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Finding the Fourth Proportional to 7,055.43, 9,734.92 and 4,071.08

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Solution

The fourth proportional to 7,055.43, 9,734.92 and 4,071.08 is: 5,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.43 : 9,734.92 = 4,071.08 : x
  2. Step 2: Convert to fraction form
    7,055.43/9,734.92 = 4,071.08/x
  3. Step 3: Cross multiply
    7,055.43x = 9,734.92 × 4,071.08
  4. Step 4: Simplify right side
    7,055.43x = 39,631,569.08
  5. Step 5: Solve for x
    x = 39,631,569.08/7,055.43
  6. Step 6: Final answer
    x = 5,617.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.