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Finding the Fourth Proportional to 9,192.64, 13,783.40 and 3,646.72

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Solution

The fourth proportional to 9,192.64, 13,783.40 and 3,646.72 is: 5,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.64 : 13,783.40 = 3,646.72 : x
  2. Step 2: Convert to fraction form
    9,192.64/13,783.40 = 3,646.72/x
  3. Step 3: Cross multiply
    9,192.64x = 13,783.40 × 3,646.72
  4. Step 4: Simplify right side
    9,192.64x = 50,264,200.45
  5. Step 5: Solve for x
    x = 50,264,200.45/9,192.64
  6. Step 6: Final answer
    x = 5,467.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.