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Finding the Fourth Proportional to 9,541.66, 14,310.67 and 2,967.93

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Solution

The fourth proportional to 9,541.66, 14,310.67 and 2,967.93 is: 4,451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.66 : 14,310.67 = 2,967.93 : x
  2. Step 2: Convert to fraction form
    9,541.66/14,310.67 = 2,967.93/x
  3. Step 3: Cross multiply
    9,541.66x = 14,310.67 × 2,967.93
  4. Step 4: Simplify right side
    9,541.66x = 42,472,987.84
  5. Step 5: Solve for x
    x = 42,472,987.84/9,541.66
  6. Step 6: Final answer
    x = 4,451.32

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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.