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Finding the Fourth Proportional to 6,802.09, 9,384.48 and 4,445.60

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Solution

The fourth proportional to 6,802.09, 9,384.48 and 4,445.60 is: 6,133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.09 : 9,384.48 = 4,445.60 : x
  2. Step 2: Convert to fraction form
    6,802.09/9,384.48 = 4,445.60/x
  3. Step 3: Cross multiply
    6,802.09x = 9,384.48 × 4,445.60
  4. Step 4: Simplify right side
    6,802.09x = 41,719,650.15
  5. Step 5: Solve for x
    x = 41,719,650.15/6,802.09
  6. Step 6: Final answer
    x = 6,133.35

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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.