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Finding the Fourth Proportional to 9,717, 13,409.48 and 5,301

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Solution

The fourth proportional to 9,717, 13,409.48 and 5,301 is: 7,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717 : 13,409.48 = 5,301 : x
  2. Step 2: Convert to fraction form
    9,717/13,409.48 = 5,301/x
  3. Step 3: Cross multiply
    9,717x = 13,409.48 × 5,301
  4. Step 4: Simplify right side
    9,717x = 71,083,653.48
  5. Step 5: Solve for x
    x = 71,083,653.48/9,717
  6. Step 6: Final answer
    x = 7,315.39

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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.