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Finding the Fourth Proportional to 9,713, 13,403.94 and 5,297

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Solution

The fourth proportional to 9,713, 13,403.94 and 5,297 is: 7,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713 : 13,403.94 = 5,297 : x
  2. Step 2: Convert to fraction form
    9,713/13,403.94 = 5,297/x
  3. Step 3: Cross multiply
    9,713x = 13,403.94 × 5,297
  4. Step 4: Simplify right side
    9,713x = 71,000,670.18
  5. Step 5: Solve for x
    x = 71,000,670.18/9,713
  6. Step 6: Final answer
    x = 7,309.86

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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.