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Finding the Fourth Proportional to 9,042.64, 13,564.44 and 2,806.96

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Solution

The fourth proportional to 9,042.64, 13,564.44 and 2,806.96 is: 4,210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.64 : 13,564.44 = 2,806.96 : x
  2. Step 2: Convert to fraction form
    9,042.64/13,564.44 = 2,806.96/x
  3. Step 3: Cross multiply
    9,042.64x = 13,564.44 × 2,806.96
  4. Step 4: Simplify right side
    9,042.64x = 38,074,840.50
  5. Step 5: Solve for x
    x = 38,074,840.50/9,042.64
  6. Step 6: Final answer
    x = 4,210.59

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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.