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Finding the Fourth Proportional to 9,666.76, 14,505.60 and 4,119.52

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Solution

The fourth proportional to 9,666.76, 14,505.60 and 4,119.52 is: 6,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.76 : 14,505.60 = 4,119.52 : x
  2. Step 2: Convert to fraction form
    9,666.76/14,505.60 = 4,119.52/x
  3. Step 3: Cross multiply
    9,666.76x = 14,505.60 × 4,119.52
  4. Step 4: Simplify right side
    9,666.76x = 59,756,109.31
  5. Step 5: Solve for x
    x = 59,756,109.31/9,666.76
  6. Step 6: Final answer
    x = 6,181.61

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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.