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Finding the Fourth Proportional to 9,588.88, 14,383.32 and 5,482

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Solution

The fourth proportional to 9,588.88, 14,383.32 and 5,482 is: 8,223

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.88 : 14,383.32 = 5,482 : x
  2. Step 2: Convert to fraction form
    9,588.88/14,383.32 = 5,482/x
  3. Step 3: Cross multiply
    9,588.88x = 14,383.32 × 5,482
  4. Step 4: Simplify right side
    9,588.88x = 78,849,360.24
  5. Step 5: Solve for x
    x = 78,849,360.24/9,588.88
  6. Step 6: Final answer
    x = 8,223

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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.