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Finding the Fourth Proportional to 9,624, 13,284.72 and 5,898

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Solution

The fourth proportional to 9,624, 13,284.72 and 5,898 is: 8,141.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624 : 13,284.72 = 5,898 : x
  2. Step 2: Convert to fraction form
    9,624/13,284.72 = 5,898/x
  3. Step 3: Cross multiply
    9,624x = 13,284.72 × 5,898
  4. Step 4: Simplify right side
    9,624x = 78,353,278.56
  5. Step 5: Solve for x
    x = 78,353,278.56/9,624
  6. Step 6: Final answer
    x = 8,141.45

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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.