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Finding the Fourth Proportional to 6,483.12, 9,727.86 and 2,323.45

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Solution

The fourth proportional to 6,483.12, 9,727.86 and 2,323.45 is: 3,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.12 : 9,727.86 = 2,323.45 : x
  2. Step 2: Convert to fraction form
    6,483.12/9,727.86 = 2,323.45/x
  3. Step 3: Cross multiply
    6,483.12x = 9,727.86 × 2,323.45
  4. Step 4: Simplify right side
    6,483.12x = 22,602,196.32
  5. Step 5: Solve for x
    x = 22,602,196.32/6,483.12
  6. Step 6: Final answer
    x = 3,486.31

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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.