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Finding the Fourth Proportional to 7,075.70, 9,764.65 and 4,243.53

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Solution

The fourth proportional to 7,075.70, 9,764.65 and 4,243.53 is: 5,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.70 : 9,764.65 = 4,243.53 : x
  2. Step 2: Convert to fraction form
    7,075.70/9,764.65 = 4,243.53/x
  3. Step 3: Cross multiply
    7,075.70x = 9,764.65 × 4,243.53
  4. Step 4: Simplify right side
    7,075.70x = 41,436,585.21
  5. Step 5: Solve for x
    x = 41,436,585.21/7,075.70
  6. Step 6: Final answer
    x = 5,856.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.