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Finding the Fourth Proportional to 9,798.63, 13,522.10 and 5,606.88

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Solution

The fourth proportional to 9,798.63, 13,522.10 and 5,606.88 is: 7,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.63 : 13,522.10 = 5,606.88 : x
  2. Step 2: Convert to fraction form
    9,798.63/13,522.10 = 5,606.88/x
  3. Step 3: Cross multiply
    9,798.63x = 13,522.10 × 5,606.88
  4. Step 4: Simplify right side
    9,798.63x = 75,816,792.05
  5. Step 5: Solve for x
    x = 75,816,792.05/9,798.63
  6. Step 6: Final answer
    x = 7,737.49

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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.