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Finding the Fourth Proportional to 9,202.40, 13,803.60 and 3,046.40

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Solution

The fourth proportional to 9,202.40, 13,803.60 and 3,046.40 is: 4,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.40 : 13,803.60 = 3,046.40 : x
  2. Step 2: Convert to fraction form
    9,202.40/13,803.60 = 3,046.40/x
  3. Step 3: Cross multiply
    9,202.40x = 13,803.60 × 3,046.40
  4. Step 4: Simplify right side
    9,202.40x = 42,051,287.04
  5. Step 5: Solve for x
    x = 42,051,287.04/9,202.40
  6. Step 6: Final answer
    x = 4,569.60

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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.