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Finding the Fourth Proportional to 9,666.42, 14,499.41 and 3,092.58

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Solution

The fourth proportional to 9,666.42, 14,499.41 and 3,092.58 is: 4,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.42 : 14,499.41 = 3,092.58 : x
  2. Step 2: Convert to fraction form
    9,666.42/14,499.41 = 3,092.58/x
  3. Step 3: Cross multiply
    9,666.42x = 14,499.41 × 3,092.58
  4. Step 4: Simplify right side
    9,666.42x = 44,840,569.91
  5. Step 5: Solve for x
    x = 44,840,569.91/9,666.42
  6. Step 6: Final answer
    x = 4,638.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.