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Finding the Fourth Proportional to 9,385.71, 14,074.41 and 2,810.67

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Solution

The fourth proportional to 9,385.71, 14,074.41 and 2,810.67 is: 4,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.71 : 14,074.41 = 2,810.67 : x
  2. Step 2: Convert to fraction form
    9,385.71/14,074.41 = 2,810.67/x
  3. Step 3: Cross multiply
    9,385.71x = 14,074.41 × 2,810.67
  4. Step 4: Simplify right side
    9,385.71x = 39,558,521.95
  5. Step 5: Solve for x
    x = 39,558,521.95/9,385.71
  6. Step 6: Final answer
    x = 4,214.76

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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.