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Finding the Fourth Proportional to 9,773.40, 14,660.13 and 2,377.89

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Solution

The fourth proportional to 9,773.40, 14,660.13 and 2,377.89 is: 3,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.40 : 14,660.13 = 2,377.89 : x
  2. Step 2: Convert to fraction form
    9,773.40/14,660.13 = 2,377.89/x
  3. Step 3: Cross multiply
    9,773.40x = 14,660.13 × 2,377.89
  4. Step 4: Simplify right side
    9,773.40x = 34,860,176.53
  5. Step 5: Solve for x
    x = 34,860,176.53/9,773.40
  6. Step 6: Final answer
    x = 3,566.84

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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.