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Finding the Fourth Proportional to 9,532.86, 13,155.42 and 5,341.14

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Solution

The fourth proportional to 9,532.86, 13,155.42 and 5,341.14 is: 7,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.86 : 13,155.42 = 5,341.14 : x
  2. Step 2: Convert to fraction form
    9,532.86/13,155.42 = 5,341.14/x
  3. Step 3: Cross multiply
    9,532.86x = 13,155.42 × 5,341.14
  4. Step 4: Simplify right side
    9,532.86x = 70,264,939.98
  5. Step 5: Solve for x
    x = 70,264,939.98/9,532.86
  6. Step 6: Final answer
    x = 7,370.81

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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.