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Finding the Fourth Proportional to 9,154.49, 12,636.27 and 6,509.57

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Solution

The fourth proportional to 9,154.49, 12,636.27 and 6,509.57 is: 8,985.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.49 : 12,636.27 = 6,509.57 : x
  2. Step 2: Convert to fraction form
    9,154.49/12,636.27 = 6,509.57/x
  3. Step 3: Cross multiply
    9,154.49x = 12,636.27 × 6,509.57
  4. Step 4: Simplify right side
    9,154.49x = 82,256,620.92
  5. Step 5: Solve for x
    x = 82,256,620.92/9,154.49
  6. Step 6: Final answer
    x = 8,985.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.