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Finding the Fourth Proportional to 9,771.71, 14,603.90 and 7,144.74

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Solution

The fourth proportional to 9,771.71, 14,603.90 and 7,144.74 is: 10,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.71 : 14,603.90 = 7,144.74 : x
  2. Step 2: Convert to fraction form
    9,771.71/14,603.90 = 7,144.74/x
  3. Step 3: Cross multiply
    9,771.71x = 14,603.90 × 7,144.74
  4. Step 4: Simplify right side
    9,771.71x = 104,341,086.35
  5. Step 5: Solve for x
    x = 104,341,086.35/9,771.71
  6. Step 6: Final answer
    x = 10,677.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.