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Finding the Fourth Proportional to 6,891.96, 9,509.52 and 4,058.56

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Solution

The fourth proportional to 6,891.96, 9,509.52 and 4,058.56 is: 5,600.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.96 : 9,509.52 = 4,058.56 : x
  2. Step 2: Convert to fraction form
    6,891.96/9,509.52 = 4,058.56/x
  3. Step 3: Cross multiply
    6,891.96x = 9,509.52 × 4,058.56
  4. Step 4: Simplify right side
    6,891.96x = 38,594,957.49
  5. Step 5: Solve for x
    x = 38,594,957.49/6,891.96
  6. Step 6: Final answer
    x = 5,600.00

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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.