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Finding the Fourth Proportional to 9,314.83, 13,973.64 and 3,075.50

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Solution

The fourth proportional to 9,314.83, 13,973.64 and 3,075.50 is: 4,613.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.83 : 13,973.64 = 3,075.50 : x
  2. Step 2: Convert to fraction form
    9,314.83/13,973.64 = 3,075.50/x
  3. Step 3: Cross multiply
    9,314.83x = 13,973.64 × 3,075.50
  4. Step 4: Simplify right side
    9,314.83x = 42,975,914.44
  5. Step 5: Solve for x
    x = 42,975,914.44/9,314.83
  6. Step 6: Final answer
    x = 4,613.71

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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.