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Finding the Fourth Proportional to 6,922.35, 9,549.95 and 4,405.83

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Solution

The fourth proportional to 6,922.35, 9,549.95 and 4,405.83 is: 6,078.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.35 : 9,549.95 = 4,405.83 : x
  2. Step 2: Convert to fraction form
    6,922.35/9,549.95 = 4,405.83/x
  3. Step 3: Cross multiply
    6,922.35x = 9,549.95 × 4,405.83
  4. Step 4: Simplify right side
    6,922.35x = 42,075,434.18
  5. Step 5: Solve for x
    x = 42,075,434.18/6,922.35
  6. Step 6: Final answer
    x = 6,078.20

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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.