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Finding the Fourth Proportional to 9,011.56, 12,434.66 and 5,284.84

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Solution

The fourth proportional to 9,011.56, 12,434.66 and 5,284.84 is: 7,292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.56 : 12,434.66 = 5,284.84 : x
  2. Step 2: Convert to fraction form
    9,011.56/12,434.66 = 5,284.84/x
  3. Step 3: Cross multiply
    9,011.56x = 12,434.66 × 5,284.84
  4. Step 4: Simplify right side
    9,011.56x = 65,715,188.55
  5. Step 5: Solve for x
    x = 65,715,188.55/9,011.56
  6. Step 6: Final answer
    x = 7,292.32

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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.