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Finding the Fourth Proportional to 9,698.87, 13,389.57 and 6,528.84

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Solution

The fourth proportional to 9,698.87, 13,389.57 and 6,528.84 is: 9,013.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.87 : 13,389.57 = 6,528.84 : x
  2. Step 2: Convert to fraction form
    9,698.87/13,389.57 = 6,528.84/x
  3. Step 3: Cross multiply
    9,698.87x = 13,389.57 × 6,528.84
  4. Step 4: Simplify right side
    9,698.87x = 87,418,309.99
  5. Step 5: Solve for x
    x = 87,418,309.99/9,698.87
  6. Step 6: Final answer
    x = 9,013.24

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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.