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Finding the Fourth Proportional to 6,483.47, 9,724.40 and 1,803.83

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Solution

The fourth proportional to 6,483.47, 9,724.40 and 1,803.83 is: 2,705.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.47 : 9,724.40 = 1,803.83 : x
  2. Step 2: Convert to fraction form
    6,483.47/9,724.40 = 1,803.83/x
  3. Step 3: Cross multiply
    6,483.47x = 9,724.40 × 1,803.83
  4. Step 4: Simplify right side
    6,483.47x = 17,541,155.43
  5. Step 5: Solve for x
    x = 17,541,155.43/6,483.47
  6. Step 6: Final answer
    x = 2,705.52

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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.