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Finding the Fourth Proportional to 9,969.05, 13,762.20 and 6,798.80

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Solution

The fourth proportional to 9,969.05, 13,762.20 and 6,798.80 is: 9,385.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.05 : 13,762.20 = 6,798.80 : x
  2. Step 2: Convert to fraction form
    9,969.05/13,762.20 = 6,798.80/x
  3. Step 3: Cross multiply
    9,969.05x = 13,762.20 × 6,798.80
  4. Step 4: Simplify right side
    9,969.05x = 93,566,376.55
  5. Step 5: Solve for x
    x = 93,566,376.55/9,969.05
  6. Step 6: Final answer
    x = 9,385.69

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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.