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Finding the Fourth Proportional to 9,666.98, 14,500.95 and 3,008.01

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Solution

The fourth proportional to 9,666.98, 14,500.95 and 3,008.01 is: 4,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.98 : 14,500.95 = 3,008.01 : x
  2. Step 2: Convert to fraction form
    9,666.98/14,500.95 = 3,008.01/x
  3. Step 3: Cross multiply
    9,666.98x = 14,500.95 × 3,008.01
  4. Step 4: Simplify right side
    9,666.98x = 43,619,002.61
  5. Step 5: Solve for x
    x = 43,619,002.61/9,666.98
  6. Step 6: Final answer
    x = 4,512.16

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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.