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Finding the Fourth Proportional to 6,186.32, 9,277.65 and 1,802.60

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Solution

The fourth proportional to 6,186.32, 9,277.65 and 1,802.60 is: 2,703.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.32 : 9,277.65 = 1,802.60 : x
  2. Step 2: Convert to fraction form
    6,186.32/9,277.65 = 1,802.60/x
  3. Step 3: Cross multiply
    6,186.32x = 9,277.65 × 1,802.60
  4. Step 4: Simplify right side
    6,186.32x = 16,723,845.50
  5. Step 5: Solve for x
    x = 16,723,845.50/6,186.32
  6. Step 6: Final answer
    x = 2,703.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.