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Finding the Fourth Proportional to 9,595.84, 13,248.48 and 5,872

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Solution

The fourth proportional to 9,595.84, 13,248.48 and 5,872 is: 8,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.84 : 13,248.48 = 5,872 : x
  2. Step 2: Convert to fraction form
    9,595.84/13,248.48 = 5,872/x
  3. Step 3: Cross multiply
    9,595.84x = 13,248.48 × 5,872
  4. Step 4: Simplify right side
    9,595.84x = 77,795,074.56
  5. Step 5: Solve for x
    x = 77,795,074.56/9,595.84
  6. Step 6: Final answer
    x = 8,107.17

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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.