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Finding the Fourth Proportional to 9,767.76, 14,636.26 and 7,552

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Solution

The fourth proportional to 9,767.76, 14,636.26 and 7,552 is: 11,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.76 : 14,636.26 = 7,552 : x
  2. Step 2: Convert to fraction form
    9,767.76/14,636.26 = 7,552/x
  3. Step 3: Cross multiply
    9,767.76x = 14,636.26 × 7,552
  4. Step 4: Simplify right side
    9,767.76x = 110,533,035.52
  5. Step 5: Solve for x
    x = 110,533,035.52/9,767.76
  6. Step 6: Final answer
    x = 11,316.11

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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.