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Finding the Fourth Proportional to 9,133.64, 13,700.46 and 3,869.48

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Solution

The fourth proportional to 9,133.64, 13,700.46 and 3,869.48 is: 5,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.64 : 13,700.46 = 3,869.48 : x
  2. Step 2: Convert to fraction form
    9,133.64/13,700.46 = 3,869.48/x
  3. Step 3: Cross multiply
    9,133.64x = 13,700.46 × 3,869.48
  4. Step 4: Simplify right side
    9,133.64x = 53,013,655.96
  5. Step 5: Solve for x
    x = 53,013,655.96/9,133.64
  6. Step 6: Final answer
    x = 5,804.22

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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.