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Finding the Fourth Proportional to 9,384.59, 14,064.57 and 5,222.45

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Solution

The fourth proportional to 9,384.59, 14,064.57 and 5,222.45 is: 7,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.59 : 14,064.57 = 5,222.45 : x
  2. Step 2: Convert to fraction form
    9,384.59/14,064.57 = 5,222.45/x
  3. Step 3: Cross multiply
    9,384.59x = 14,064.57 × 5,222.45
  4. Step 4: Simplify right side
    9,384.59x = 73,451,443.27
  5. Step 5: Solve for x
    x = 73,451,443.27/9,384.59
  6. Step 6: Final answer
    x = 7,826.82

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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.