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Finding the Fourth Proportional to 7,053.73, 9,734.16 and 4,401.16

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Solution

The fourth proportional to 7,053.73, 9,734.16 and 4,401.16 is: 6,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,053.73 : 9,734.16 = 4,401.16 : x
  2. Step 2: Convert to fraction form
    7,053.73/9,734.16 = 4,401.16/x
  3. Step 3: Cross multiply
    7,053.73x = 9,734.16 × 4,401.16
  4. Step 4: Simplify right side
    7,053.73x = 42,841,595.63
  5. Step 5: Solve for x
    x = 42,841,595.63/7,053.73
  6. Step 6: Final answer
    x = 6,073.61

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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.