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Finding the Fourth Proportional to 9,603.63, 14,406.66 and 3,028.86

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Solution

The fourth proportional to 9,603.63, 14,406.66 and 3,028.86 is: 4,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.63 : 14,406.66 = 3,028.86 : x
  2. Step 2: Convert to fraction form
    9,603.63/14,406.66 = 3,028.86/x
  3. Step 3: Cross multiply
    9,603.63x = 14,406.66 × 3,028.86
  4. Step 4: Simplify right side
    9,603.63x = 43,635,756.21
  5. Step 5: Solve for x
    x = 43,635,756.21/9,603.63
  6. Step 6: Final answer
    x = 4,543.67

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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.