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Finding the Fourth Proportional to 9,771.90, 14,679.45 and 9,404.70

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Solution

The fourth proportional to 9,771.90, 14,679.45 and 9,404.70 is: 14,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.90 : 14,679.45 = 9,404.70 : x
  2. Step 2: Convert to fraction form
    9,771.90/14,679.45 = 9,404.70/x
  3. Step 3: Cross multiply
    9,771.90x = 14,679.45 × 9,404.70
  4. Step 4: Simplify right side
    9,771.90x = 138,055,823.42
  5. Step 5: Solve for x
    x = 138,055,823.42/9,771.90
  6. Step 6: Final answer
    x = 14,127.84

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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.