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Finding the Fourth Proportional to 9,116.55, 13,674.81 and 3,566.01

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Solution

The fourth proportional to 9,116.55, 13,674.81 and 3,566.01 is: 5,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.55 : 13,674.81 = 3,566.01 : x
  2. Step 2: Convert to fraction form
    9,116.55/13,674.81 = 3,566.01/x
  3. Step 3: Cross multiply
    9,116.55x = 13,674.81 × 3,566.01
  4. Step 4: Simplify right side
    9,116.55x = 48,764,509.21
  5. Step 5: Solve for x
    x = 48,764,509.21/9,116.55
  6. Step 6: Final answer
    x = 5,349.01

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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.