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Finding the Fourth Proportional to 6,007.69, 9,005.16 and 3,543.67

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Solution

The fourth proportional to 6,007.69, 9,005.16 and 3,543.67 is: 5,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.69 : 9,005.16 = 3,543.67 : x
  2. Step 2: Convert to fraction form
    6,007.69/9,005.16 = 3,543.67/x
  3. Step 3: Cross multiply
    6,007.69x = 9,005.16 × 3,543.67
  4. Step 4: Simplify right side
    6,007.69x = 31,911,315.34
  5. Step 5: Solve for x
    x = 31,911,315.34/6,007.69
  6. Step 6: Final answer
    x = 5,311.74

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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.