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Finding the Fourth Proportional to 6,184.53, 9,277.02 and 1,802.34

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Solution

The fourth proportional to 6,184.53, 9,277.02 and 1,802.34 is: 2,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.53 : 9,277.02 = 1,802.34 : x
  2. Step 2: Convert to fraction form
    6,184.53/9,277.02 = 1,802.34/x
  3. Step 3: Cross multiply
    6,184.53x = 9,277.02 × 1,802.34
  4. Step 4: Simplify right side
    6,184.53x = 16,720,344.23
  5. Step 5: Solve for x
    x = 16,720,344.23/6,184.53
  6. Step 6: Final answer
    x = 2,703.58

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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.