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Finding the Fourth Proportional to 6,184.36, 9,276.64 and 1,802.06

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Solution

The fourth proportional to 6,184.36, 9,276.64 and 1,802.06 is: 2,703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.36 : 9,276.64 = 1,802.06 : x
  2. Step 2: Convert to fraction form
    6,184.36/9,276.64 = 1,802.06/x
  3. Step 3: Cross multiply
    6,184.36x = 9,276.64 × 1,802.06
  4. Step 4: Simplify right side
    6,184.36x = 16,717,010.99
  5. Step 5: Solve for x
    x = 16,717,010.99/6,184.36
  6. Step 6: Final answer
    x = 2,703.11

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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.