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Finding the Fourth Proportional to 7,075.31, 9,764.42 and 3,931.70

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Solution

The fourth proportional to 7,075.31, 9,764.42 and 3,931.70 is: 5,426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.31 : 9,764.42 = 3,931.70 : x
  2. Step 2: Convert to fraction form
    7,075.31/9,764.42 = 3,931.70/x
  3. Step 3: Cross multiply
    7,075.31x = 9,764.42 × 3,931.70
  4. Step 4: Simplify right side
    7,075.31x = 38,390,701.63
  5. Step 5: Solve for x
    x = 38,390,701.63/7,075.31
  6. Step 6: Final answer
    x = 5,426.01

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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.