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Finding the Fourth Proportional to 9,666, 14,492.82 and 4,114.74

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Solution

The fourth proportional to 9,666, 14,492.82 and 4,114.74 is: 6,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666 : 14,492.82 = 4,114.74 : x
  2. Step 2: Convert to fraction form
    9,666/14,492.82 = 4,114.74/x
  3. Step 3: Cross multiply
    9,666x = 14,492.82 × 4,114.74
  4. Step 4: Simplify right side
    9,666x = 59,634,186.17
  5. Step 5: Solve for x
    x = 59,634,186.17/9,666
  6. Step 6: Final answer
    x = 6,169.48

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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.