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Finding the Fourth Proportional to 9,542.53, 14,316.07 and 3,992.77

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Solution

The fourth proportional to 9,542.53, 14,316.07 and 3,992.77 is: 5,990.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.53 : 14,316.07 = 3,992.77 : x
  2. Step 2: Convert to fraction form
    9,542.53/14,316.07 = 3,992.77/x
  3. Step 3: Cross multiply
    9,542.53x = 14,316.07 × 3,992.77
  4. Step 4: Simplify right side
    9,542.53x = 57,160,774.81
  5. Step 5: Solve for x
    x = 57,160,774.81/9,542.53
  6. Step 6: Final answer
    x = 5,990.11

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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.