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Finding the Fourth Proportional to 6,663.69, 9,192.45 and 5,406.15

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Solution

The fourth proportional to 6,663.69, 9,192.45 and 5,406.15 is: 7,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.69 : 9,192.45 = 5,406.15 : x
  2. Step 2: Convert to fraction form
    6,663.69/9,192.45 = 5,406.15/x
  3. Step 3: Cross multiply
    6,663.69x = 9,192.45 × 5,406.15
  4. Step 4: Simplify right side
    6,663.69x = 49,695,763.57
  5. Step 5: Solve for x
    x = 49,695,763.57/6,663.69
  6. Step 6: Final answer
    x = 7,457.69

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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.