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Finding the Fourth Proportional to 9,737, 13,437.06 and 5,321

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Solution

The fourth proportional to 9,737, 13,437.06 and 5,321 is: 7,342.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737 : 13,437.06 = 5,321 : x
  2. Step 2: Convert to fraction form
    9,737/13,437.06 = 5,321/x
  3. Step 3: Cross multiply
    9,737x = 13,437.06 × 5,321
  4. Step 4: Simplify right side
    9,737x = 71,498,596.26
  5. Step 5: Solve for x
    x = 71,498,596.26/9,737
  6. Step 6: Final answer
    x = 7,342.98

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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.