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Finding the Fourth Proportional to 9,814.74, 14,713.80 and 4,263.90

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Solution

The fourth proportional to 9,814.74, 14,713.80 and 4,263.90 is: 6,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.74 : 14,713.80 = 4,263.90 : x
  2. Step 2: Convert to fraction form
    9,814.74/14,713.80 = 4,263.90/x
  3. Step 3: Cross multiply
    9,814.74x = 14,713.80 × 4,263.90
  4. Step 4: Simplify right side
    9,814.74x = 62,738,171.82
  5. Step 5: Solve for x
    x = 62,738,171.82/9,814.74
  6. Step 6: Final answer
    x = 6,392.24

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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.