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Finding the Fourth Proportional to 9,533.86, 14,295.55 and 7,572.05

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Solution

The fourth proportional to 9,533.86, 14,295.55 and 7,572.05 is: 11,353.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.86 : 14,295.55 = 7,572.05 : x
  2. Step 2: Convert to fraction form
    9,533.86/14,295.55 = 7,572.05/x
  3. Step 3: Cross multiply
    9,533.86x = 14,295.55 × 7,572.05
  4. Step 4: Simplify right side
    9,533.86x = 108,246,619.38
  5. Step 5: Solve for x
    x = 108,246,619.38/9,533.86
  6. Step 6: Final answer
    x = 11,353.91

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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.