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Finding the Fourth Proportional to 9,400.84, 14,102.43 and 3,075.58

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Solution

The fourth proportional to 9,400.84, 14,102.43 and 3,075.58 is: 4,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.84 : 14,102.43 = 3,075.58 : x
  2. Step 2: Convert to fraction form
    9,400.84/14,102.43 = 3,075.58/x
  3. Step 3: Cross multiply
    9,400.84x = 14,102.43 × 3,075.58
  4. Step 4: Simplify right side
    9,400.84x = 43,373,151.66
  5. Step 5: Solve for x
    x = 43,373,151.66/9,400.84
  6. Step 6: Final answer
    x = 4,613.75

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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.