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Finding the Fourth Proportional to 9,044.64, 13,567.28 and 2,805.28

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Solution

The fourth proportional to 9,044.64, 13,567.28 and 2,805.28 is: 4,208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,044.64 : 13,567.28 = 2,805.28 : x
  2. Step 2: Convert to fraction form
    9,044.64/13,567.28 = 2,805.28/x
  3. Step 3: Cross multiply
    9,044.64x = 13,567.28 × 2,805.28
  4. Step 4: Simplify right side
    9,044.64x = 38,060,019.24
  5. Step 5: Solve for x
    x = 38,060,019.24/9,044.64
  6. Step 6: Final answer
    x = 4,208.02

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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.