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Finding the Fourth Proportional to 9,186.56, 13,784.86 and 4,807.88

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Solution

The fourth proportional to 9,186.56, 13,784.86 and 4,807.88 is: 7,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.56 : 13,784.86 = 4,807.88 : x
  2. Step 2: Convert to fraction form
    9,186.56/13,784.86 = 4,807.88/x
  3. Step 3: Cross multiply
    9,186.56x = 13,784.86 × 4,807.88
  4. Step 4: Simplify right side
    9,186.56x = 66,275,952.70
  5. Step 5: Solve for x
    x = 66,275,952.70/9,186.56
  6. Step 6: Final answer
    x = 7,214.45

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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.