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Finding the Fourth Proportional to 34,184.61, 51,272.78 and 9,222.75

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Solution

The fourth proportional to 34,184.61, 51,272.78 and 9,222.75 is: 13,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,184.61 : 51,272.78 = 9,222.75 : x
  2. Step 2: Convert to fraction form
    34,184.61/51,272.78 = 9,222.75/x
  3. Step 3: Cross multiply
    34,184.61x = 51,272.78 × 9,222.75
  4. Step 4: Simplify right side
    34,184.61x = 472,875,985.63
  5. Step 5: Solve for x
    x = 472,875,985.63/34,184.61
  6. Step 6: Final answer
    x = 13,833.01

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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.