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Finding the Fourth Proportional to 9,929, 13,702.02 and 5,513

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Solution

The fourth proportional to 9,929, 13,702.02 and 5,513 is: 7,607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929 : 13,702.02 = 5,513 : x
  2. Step 2: Convert to fraction form
    9,929/13,702.02 = 5,513/x
  3. Step 3: Cross multiply
    9,929x = 13,702.02 × 5,513
  4. Step 4: Simplify right side
    9,929x = 75,539,236.26
  5. Step 5: Solve for x
    x = 75,539,236.26/9,929
  6. Step 6: Final answer
    x = 7,607.94

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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.