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Finding the Fourth Proportional to 7,219.26, 9,962.87 and 4,075.38

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Solution

The fourth proportional to 7,219.26, 9,962.87 and 4,075.38 is: 5,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.26 : 9,962.87 = 4,075.38 : x
  2. Step 2: Convert to fraction form
    7,219.26/9,962.87 = 4,075.38/x
  3. Step 3: Cross multiply
    7,219.26x = 9,962.87 × 4,075.38
  4. Step 4: Simplify right side
    7,219.26x = 40,602,460.76
  5. Step 5: Solve for x
    x = 40,602,460.76/7,219.26
  6. Step 6: Final answer
    x = 5,624.19

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Why These Related Problems?

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