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Finding the Fourth Proportional to 9,592, 14,388 and 2,666.48

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Solution

The fourth proportional to 9,592, 14,388 and 2,666.48 is: 3,999.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592 : 14,388 = 2,666.48 : x
  2. Step 2: Convert to fraction form
    9,592/14,388 = 2,666.48/x
  3. Step 3: Cross multiply
    9,592x = 14,388 × 2,666.48
  4. Step 4: Simplify right side
    9,592x = 38,365,314.24
  5. Step 5: Solve for x
    x = 38,365,314.24/9,592
  6. Step 6: Final answer
    x = 3,999.72

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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.