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Finding the Fourth Proportional to 9,592.88, 14,389.32 and 5,486

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Solution

The fourth proportional to 9,592.88, 14,389.32 and 5,486 is: 8,229

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.88 : 14,389.32 = 5,486 : x
  2. Step 2: Convert to fraction form
    9,592.88/14,389.32 = 5,486/x
  3. Step 3: Cross multiply
    9,592.88x = 14,389.32 × 5,486
  4. Step 4: Simplify right side
    9,592.88x = 78,939,809.52
  5. Step 5: Solve for x
    x = 78,939,809.52/9,592.88
  6. Step 6: Final answer
    x = 8,229

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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.