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Finding the Fourth Proportional to 9,774.38, 14,684.85 and 6,271.24

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Solution

The fourth proportional to 9,774.38, 14,684.85 and 6,271.24 is: 9,421.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.38 : 14,684.85 = 6,271.24 : x
  2. Step 2: Convert to fraction form
    9,774.38/14,684.85 = 6,271.24/x
  3. Step 3: Cross multiply
    9,774.38x = 14,684.85 × 6,271.24
  4. Step 4: Simplify right side
    9,774.38x = 92,092,218.71
  5. Step 5: Solve for x
    x = 92,092,218.71/9,774.38
  6. Step 6: Final answer
    x = 9,421.80

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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.