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Finding the Fourth Proportional to 9,400.69, 14,099.85 and 3,075.04

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Solution

The fourth proportional to 9,400.69, 14,099.85 and 3,075.04 is: 4,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.69 : 14,099.85 = 3,075.04 : x
  2. Step 2: Convert to fraction form
    9,400.69/14,099.85 = 3,075.04/x
  3. Step 3: Cross multiply
    9,400.69x = 14,099.85 × 3,075.04
  4. Step 4: Simplify right side
    9,400.69x = 43,357,567.49
  5. Step 5: Solve for x
    x = 43,357,567.49/9,400.69
  6. Step 6: Final answer
    x = 4,612.17

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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.