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Finding the Fourth Proportional to 9,533.52, 13,156.22 and 5,341.76

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Solution

The fourth proportional to 9,533.52, 13,156.22 and 5,341.76 is: 7,371.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.52 : 13,156.22 = 5,341.76 : x
  2. Step 2: Convert to fraction form
    9,533.52/13,156.22 = 5,341.76/x
  3. Step 3: Cross multiply
    9,533.52x = 13,156.22 × 5,341.76
  4. Step 4: Simplify right side
    9,533.52x = 70,277,369.75
  5. Step 5: Solve for x
    x = 70,277,369.75/9,533.52
  6. Step 6: Final answer
    x = 7,371.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.