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Finding the Fourth Proportional to 9,111.69, 12,574.04 and 5,133.17

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Solution

The fourth proportional to 9,111.69, 12,574.04 and 5,133.17 is: 7,083.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.69 : 12,574.04 = 5,133.17 : x
  2. Step 2: Convert to fraction form
    9,111.69/12,574.04 = 5,133.17/x
  3. Step 3: Cross multiply
    9,111.69x = 12,574.04 × 5,133.17
  4. Step 4: Simplify right side
    9,111.69x = 64,544,690.68
  5. Step 5: Solve for x
    x = 64,544,690.68/9,111.69
  6. Step 6: Final answer
    x = 7,083.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.