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Finding the Fourth Proportional to 7,054.47, 9,734.79 and 4,070.13

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Solution

The fourth proportional to 7,054.47, 9,734.79 and 4,070.13 is: 5,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.47 : 9,734.79 = 4,070.13 : x
  2. Step 2: Convert to fraction form
    7,054.47/9,734.79 = 4,070.13/x
  3. Step 3: Cross multiply
    7,054.47x = 9,734.79 × 4,070.13
  4. Step 4: Simplify right side
    7,054.47x = 39,621,839.58
  5. Step 5: Solve for x
    x = 39,621,839.58/7,054.47
  6. Step 6: Final answer
    x = 5,616.56

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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.