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Finding the Fourth Proportional to 9,925.85, 13,697.82 and 5,450

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Solution

The fourth proportional to 9,925.85, 13,697.82 and 5,450 is: 7,521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.85 : 13,697.82 = 5,450 : x
  2. Step 2: Convert to fraction form
    9,925.85/13,697.82 = 5,450/x
  3. Step 3: Cross multiply
    9,925.85x = 13,697.82 × 5,450
  4. Step 4: Simplify right side
    9,925.85x = 74,653,091.75
  5. Step 5: Solve for x
    x = 74,653,091.75/9,925.85
  6. Step 6: Final answer
    x = 7,521.08

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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.