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Finding the Fourth Proportional to 9,925.77, 13,698.06 and 5,449.47

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Solution

The fourth proportional to 9,925.77, 13,698.06 and 5,449.47 is: 7,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.77 : 13,698.06 = 5,449.47 : x
  2. Step 2: Convert to fraction form
    9,925.77/13,698.06 = 5,449.47/x
  3. Step 3: Cross multiply
    9,925.77x = 13,698.06 × 5,449.47
  4. Step 4: Simplify right side
    9,925.77x = 74,647,167.03
  5. Step 5: Solve for x
    x = 74,647,167.03/9,925.77
  6. Step 6: Final answer
    x = 7,520.54

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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.