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Finding the Fourth Proportional to 7,219.38, 9,962.46 and 4,075.77

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Solution

The fourth proportional to 7,219.38, 9,962.46 and 4,075.77 is: 5,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.38 : 9,962.46 = 4,075.77 : x
  2. Step 2: Convert to fraction form
    7,219.38/9,962.46 = 4,075.77/x
  3. Step 3: Cross multiply
    7,219.38x = 9,962.46 × 4,075.77
  4. Step 4: Simplify right side
    7,219.38x = 40,604,695.59
  5. Step 5: Solve for x
    x = 40,604,695.59/7,219.38
  6. Step 6: Final answer
    x = 5,624.40

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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.