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Finding the Fourth Proportional to 9,777.40, 14,666.12 and 2,381.86

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Solution

The fourth proportional to 9,777.40, 14,666.12 and 2,381.86 is: 3,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.40 : 14,666.12 = 2,381.86 : x
  2. Step 2: Convert to fraction form
    9,777.40/14,666.12 = 2,381.86/x
  3. Step 3: Cross multiply
    9,777.40x = 14,666.12 × 2,381.86
  4. Step 4: Simplify right side
    9,777.40x = 34,932,644.58
  5. Step 5: Solve for x
    x = 34,932,644.58/9,777.40
  6. Step 6: Final answer
    x = 3,572.79

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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.