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Finding the Fourth Proportional to 9,533.84, 14,288.00 and 5,372.19

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Solution

The fourth proportional to 9,533.84, 14,288.00 and 5,372.19 is: 8,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.84 : 14,288.00 = 5,372.19 : x
  2. Step 2: Convert to fraction form
    9,533.84/14,288.00 = 5,372.19/x
  3. Step 3: Cross multiply
    9,533.84x = 14,288.00 × 5,372.19
  4. Step 4: Simplify right side
    9,533.84x = 76,757,823.86
  5. Step 5: Solve for x
    x = 76,757,823.86/9,533.84
  6. Step 6: Final answer
    x = 8,051.10

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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.