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Finding the Fourth Proportional to 9,193.30, 13,783.20 and 3,643.90

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Solution

The fourth proportional to 9,193.30, 13,783.20 and 3,643.90 is: 5,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.30 : 13,783.20 = 3,643.90 : x
  2. Step 2: Convert to fraction form
    9,193.30/13,783.20 = 3,643.90/x
  3. Step 3: Cross multiply
    9,193.30x = 13,783.20 × 3,643.90
  4. Step 4: Simplify right side
    9,193.30x = 50,224,602.48
  5. Step 5: Solve for x
    x = 50,224,602.48/9,193.30
  6. Step 6: Final answer
    x = 5,463.17

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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.