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Finding the Fourth Proportional to 34,133.38, 51,208.70 and 9,509.38

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Solution

The fourth proportional to 34,133.38, 51,208.70 and 9,509.38 is: 14,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,133.38 : 51,208.70 = 9,509.38 : x
  2. Step 2: Convert to fraction form
    34,133.38/51,208.70 = 9,509.38/x
  3. Step 3: Cross multiply
    34,133.38x = 51,208.70 × 9,509.38
  4. Step 4: Simplify right side
    34,133.38x = 486,962,987.61
  5. Step 5: Solve for x
    x = 486,962,987.61/34,133.38
  6. Step 6: Final answer
    x = 14,266.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.