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Finding the Fourth Proportional to 9,524.52, 14,285.79 and 2,950.76

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Solution

The fourth proportional to 9,524.52, 14,285.79 and 2,950.76 is: 4,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.52 : 14,285.79 = 2,950.76 : x
  2. Step 2: Convert to fraction form
    9,524.52/14,285.79 = 2,950.76/x
  3. Step 3: Cross multiply
    9,524.52x = 14,285.79 × 2,950.76
  4. Step 4: Simplify right side
    9,524.52x = 42,153,981.71
  5. Step 5: Solve for x
    x = 42,153,981.71/9,524.52
  6. Step 6: Final answer
    x = 4,425.84

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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.