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Finding the Fourth Proportional to 9,798.91, 13,526.37 and 6,816.47

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Solution

The fourth proportional to 9,798.91, 13,526.37 and 6,816.47 is: 9,409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.91 : 13,526.37 = 6,816.47 : x
  2. Step 2: Convert to fraction form
    9,798.91/13,526.37 = 6,816.47/x
  3. Step 3: Cross multiply
    9,798.91x = 13,526.37 × 6,816.47
  4. Step 4: Simplify right side
    9,798.91x = 92,202,095.31
  5. Step 5: Solve for x
    x = 92,202,095.31/9,798.91
  6. Step 6: Final answer
    x = 9,409.42

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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.