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Finding the Fourth Proportional to 9,133.40, 13,700.10 and 3,287.90

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Solution

The fourth proportional to 9,133.40, 13,700.10 and 3,287.90 is: 4,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.40 : 13,700.10 = 3,287.90 : x
  2. Step 2: Convert to fraction form
    9,133.40/13,700.10 = 3,287.90/x
  3. Step 3: Cross multiply
    9,133.40x = 13,700.10 × 3,287.90
  4. Step 4: Simplify right side
    9,133.40x = 45,044,558.79
  5. Step 5: Solve for x
    x = 45,044,558.79/9,133.40
  6. Step 6: Final answer
    x = 4,931.85

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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.