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Finding the Fourth Proportional to 9,883.42, 13,632.85 and 6,898.17

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Solution

The fourth proportional to 9,883.42, 13,632.85 and 6,898.17 is: 9,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.42 : 13,632.85 = 6,898.17 : x
  2. Step 2: Convert to fraction form
    9,883.42/13,632.85 = 6,898.17/x
  3. Step 3: Cross multiply
    9,883.42x = 13,632.85 × 6,898.17
  4. Step 4: Simplify right side
    9,883.42x = 94,041,716.88
  5. Step 5: Solve for x
    x = 94,041,716.88/9,883.42
  6. Step 6: Final answer
    x = 9,515.10

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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.