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Finding the Fourth Proportional to 9,989.34, 13,785.35 and 5,513.08

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Solution

The fourth proportional to 9,989.34, 13,785.35 and 5,513.08 is: 7,608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.34 : 13,785.35 = 5,513.08 : x
  2. Step 2: Convert to fraction form
    9,989.34/13,785.35 = 5,513.08/x
  3. Step 3: Cross multiply
    9,989.34x = 13,785.35 × 5,513.08
  4. Step 4: Simplify right side
    9,989.34x = 75,999,737.38
  5. Step 5: Solve for x
    x = 75,999,737.38/9,989.34
  6. Step 6: Final answer
    x = 7,608.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.