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Finding the Fourth Proportional to 7,218.77, 9,962.12 and 4,075.16

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Solution

The fourth proportional to 7,218.77, 9,962.12 and 4,075.16 is: 5,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.77 : 9,962.12 = 4,075.16 : x
  2. Step 2: Convert to fraction form
    7,218.77/9,962.12 = 4,075.16/x
  3. Step 3: Cross multiply
    7,218.77x = 9,962.12 × 4,075.16
  4. Step 4: Simplify right side
    7,218.77x = 40,597,193.32
  5. Step 5: Solve for x
    x = 40,597,193.32/7,218.77
  6. Step 6: Final answer
    x = 5,623.84

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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.