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Finding the Fourth Proportional to 7,059, 9,742.22 and 4,075.63

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Solution

The fourth proportional to 7,059, 9,742.22 and 4,075.63 is: 5,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059 : 9,742.22 = 4,075.63 : x
  2. Step 2: Convert to fraction form
    7,059/9,742.22 = 4,075.63/x
  3. Step 3: Cross multiply
    7,059x = 9,742.22 × 4,075.63
  4. Step 4: Simplify right side
    7,059x = 39,705,684.10
  5. Step 5: Solve for x
    x = 39,705,684.10/7,059
  6. Step 6: Final answer
    x = 5,624.83

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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.