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Finding the Fourth Proportional to 9,314.99, 13,970.83 and 3,075.09

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Solution

The fourth proportional to 9,314.99, 13,970.83 and 3,075.09 is: 4,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.99 : 13,970.83 = 3,075.09 : x
  2. Step 2: Convert to fraction form
    9,314.99/13,970.83 = 3,075.09/x
  3. Step 3: Cross multiply
    9,314.99x = 13,970.83 × 3,075.09
  4. Step 4: Simplify right side
    9,314.99x = 42,961,559.62
  5. Step 5: Solve for x
    x = 42,961,559.62/9,314.99
  6. Step 6: Final answer
    x = 4,612.09

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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.