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Finding the Fourth Proportional to 9,046.24, 13,564.16 and 2,804.64

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Solution

The fourth proportional to 9,046.24, 13,564.16 and 2,804.64 is: 4,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.24 : 13,564.16 = 2,804.64 : x
  2. Step 2: Convert to fraction form
    9,046.24/13,564.16 = 2,804.64/x
  3. Step 3: Cross multiply
    9,046.24x = 13,564.16 × 2,804.64
  4. Step 4: Simplify right side
    9,046.24x = 38,042,585.70
  5. Step 5: Solve for x
    x = 38,042,585.70/9,046.24
  6. Step 6: Final answer
    x = 4,205.35

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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.