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Finding the Fourth Proportional to 6,894.86, 9,510.89 and 5,004.24

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Solution

The fourth proportional to 6,894.86, 9,510.89 and 5,004.24 is: 6,902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.86 : 9,510.89 = 5,004.24 : x
  2. Step 2: Convert to fraction form
    6,894.86/9,510.89 = 5,004.24/x
  3. Step 3: Cross multiply
    6,894.86x = 9,510.89 × 5,004.24
  4. Step 4: Simplify right side
    6,894.86x = 47,594,751.15
  5. Step 5: Solve for x
    x = 47,594,751.15/6,894.86
  6. Step 6: Final answer
    x = 6,902.94

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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.