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Finding the Fourth Proportional to 9,574.66, 14,362.83 and 2,649.16

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Solution

The fourth proportional to 9,574.66, 14,362.83 and 2,649.16 is: 3,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.66 : 14,362.83 = 2,649.16 : x
  2. Step 2: Convert to fraction form
    9,574.66/14,362.83 = 2,649.16/x
  3. Step 3: Cross multiply
    9,574.66x = 14,362.83 × 2,649.16
  4. Step 4: Simplify right side
    9,574.66x = 38,049,434.72
  5. Step 5: Solve for x
    x = 38,049,434.72/9,574.66
  6. Step 6: Final answer
    x = 3,973.97

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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.