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Finding the Fourth Proportional to 9,764.28, 14,626.98 and 6,291

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Solution

The fourth proportional to 9,764.28, 14,626.98 and 6,291 is: 9,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.28 : 14,626.98 = 6,291 : x
  2. Step 2: Convert to fraction form
    9,764.28/14,626.98 = 6,291/x
  3. Step 3: Cross multiply
    9,764.28x = 14,626.98 × 6,291
  4. Step 4: Simplify right side
    9,764.28x = 92,018,331.18
  5. Step 5: Solve for x
    x = 92,018,331.18/9,764.28
  6. Step 6: Final answer
    x = 9,423.98

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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.