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Finding the Fourth Proportional to 9,046, 13,569.26 and 2,890

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Solution

The fourth proportional to 9,046, 13,569.26 and 2,890 is: 4,335.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046 : 13,569.26 = 2,890 : x
  2. Step 2: Convert to fraction form
    9,046/13,569.26 = 2,890/x
  3. Step 3: Cross multiply
    9,046x = 13,569.26 × 2,890
  4. Step 4: Simplify right side
    9,046x = 39,215,161.40
  5. Step 5: Solve for x
    x = 39,215,161.40/9,046
  6. Step 6: Final answer
    x = 4,335.08

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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.