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Finding the Fourth Proportional to 9,603.27, 14,406.86 and 5,445.13

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Solution

The fourth proportional to 9,603.27, 14,406.86 and 5,445.13 is: 8,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.27 : 14,406.86 = 5,445.13 : x
  2. Step 2: Convert to fraction form
    9,603.27/14,406.86 = 5,445.13/x
  3. Step 3: Cross multiply
    9,603.27x = 14,406.86 × 5,445.13
  4. Step 4: Simplify right side
    9,603.27x = 78,447,225.59
  5. Step 5: Solve for x
    x = 78,447,225.59/9,603.27
  6. Step 6: Final answer
    x = 8,168.80

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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.