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Finding the Fourth Proportional to 9,315.57, 13,973.21 and 3,075.99

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Solution

The fourth proportional to 9,315.57, 13,973.21 and 3,075.99 is: 4,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.57 : 13,973.21 = 3,075.99 : x
  2. Step 2: Convert to fraction form
    9,315.57/13,973.21 = 3,075.99/x
  3. Step 3: Cross multiply
    9,315.57x = 13,973.21 × 3,075.99
  4. Step 4: Simplify right side
    9,315.57x = 42,981,438.85
  5. Step 5: Solve for x
    x = 42,981,438.85/9,315.57
  6. Step 6: Final answer
    x = 4,613.94

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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.