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Finding the Fourth Proportional to 9,046.40, 13,564.80 and 3,203.20

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Solution

The fourth proportional to 9,046.40, 13,564.80 and 3,203.20 is: 4,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.40 : 13,564.80 = 3,203.20 : x
  2. Step 2: Convert to fraction form
    9,046.40/13,564.80 = 3,203.20/x
  3. Step 3: Cross multiply
    9,046.40x = 13,564.80 × 3,203.20
  4. Step 4: Simplify right side
    9,046.40x = 43,450,767.36
  5. Step 5: Solve for x
    x = 43,450,767.36/9,046.40
  6. Step 6: Final answer
    x = 4,803.10

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Why These Related Problems?

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