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Finding the Fourth Proportional to 6,567.60, 9,063.24 and 3,583.46

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Solution

The fourth proportional to 6,567.60, 9,063.24 and 3,583.46 is: 4,945.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.60 : 9,063.24 = 3,583.46 : x
  2. Step 2: Convert to fraction form
    6,567.60/9,063.24 = 3,583.46/x
  3. Step 3: Cross multiply
    6,567.60x = 9,063.24 × 3,583.46
  4. Step 4: Simplify right side
    6,567.60x = 32,477,758.01
  5. Step 5: Solve for x
    x = 32,477,758.01/6,567.60
  6. Step 6: Final answer
    x = 4,945.15

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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.