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Finding the Fourth Proportional to 9,798.80, 13,522.28 and 5,606.96

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Solution

The fourth proportional to 9,798.80, 13,522.28 and 5,606.96 is: 7,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.80 : 13,522.28 = 5,606.96 : x
  2. Step 2: Convert to fraction form
    9,798.80/13,522.28 = 5,606.96/x
  3. Step 3: Cross multiply
    9,798.80x = 13,522.28 × 5,606.96
  4. Step 4: Simplify right side
    9,798.80x = 75,818,883.07
  5. Step 5: Solve for x
    x = 75,818,883.07/9,798.80
  6. Step 6: Final answer
    x = 7,737.57

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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.