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Finding the Fourth Proportional to 9,124.84, 13,689.32 and 2,885.23

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Solution

The fourth proportional to 9,124.84, 13,689.32 and 2,885.23 is: 4,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.84 : 13,689.32 = 2,885.23 : x
  2. Step 2: Convert to fraction form
    9,124.84/13,689.32 = 2,885.23/x
  3. Step 3: Cross multiply
    9,124.84x = 13,689.32 × 2,885.23
  4. Step 4: Simplify right side
    9,124.84x = 39,496,788.09
  5. Step 5: Solve for x
    x = 39,496,788.09/9,124.84
  6. Step 6: Final answer
    x = 4,328.49

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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.