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Finding the Fourth Proportional to 6,185.04, 9,277.68 and 1,802.52

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Solution

The fourth proportional to 6,185.04, 9,277.68 and 1,802.52 is: 2,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.04 : 9,277.68 = 1,802.52 : x
  2. Step 2: Convert to fraction form
    6,185.04/9,277.68 = 1,802.52/x
  3. Step 3: Cross multiply
    6,185.04x = 9,277.68 × 1,802.52
  4. Step 4: Simplify right side
    6,185.04x = 16,723,203.75
  5. Step 5: Solve for x
    x = 16,723,203.75/6,185.04
  6. Step 6: Final answer
    x = 2,703.81

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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.