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Finding the Fourth Proportional to 9,574.66, 14,358.80 and 4,026.97

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Solution

The fourth proportional to 9,574.66, 14,358.80 and 4,026.97 is: 6,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.66 : 14,358.80 = 4,026.97 : x
  2. Step 2: Convert to fraction form
    9,574.66/14,358.80 = 4,026.97/x
  3. Step 3: Cross multiply
    9,574.66x = 14,358.80 × 4,026.97
  4. Step 4: Simplify right side
    9,574.66x = 57,822,484.85
  5. Step 5: Solve for x
    x = 57,822,484.85/9,574.66
  6. Step 6: Final answer
    x = 6,039.12

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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.