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Finding the Fourth Proportional to 6,075.29, 9,112.93 and 4,690.64

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Solution

The fourth proportional to 6,075.29, 9,112.93 and 4,690.64 is: 7,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.29 : 9,112.93 = 4,690.64 : x
  2. Step 2: Convert to fraction form
    6,075.29/9,112.93 = 4,690.64/x
  3. Step 3: Cross multiply
    6,075.29x = 9,112.93 × 4,690.64
  4. Step 4: Simplify right side
    6,075.29x = 42,745,473.98
  5. Step 5: Solve for x
    x = 42,745,473.98/6,075.29
  6. Step 6: Final answer
    x = 7,035.96

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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.