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Finding the Fourth Proportional to 9,567, 14,356.17 and 4,373.28

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Solution

The fourth proportional to 9,567, 14,356.17 and 4,373.28 is: 6,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567 : 14,356.17 = 4,373.28 : x
  2. Step 2: Convert to fraction form
    9,567/14,356.17 = 4,373.28/x
  3. Step 3: Cross multiply
    9,567x = 14,356.17 × 4,373.28
  4. Step 4: Simplify right side
    9,567x = 62,783,551.14
  5. Step 5: Solve for x
    x = 62,783,551.14/9,567
  6. Step 6: Final answer
    x = 6,562.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.