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Finding the Fourth Proportional to 6,473.13, 9,710.23 and 1,856.13

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Solution

The fourth proportional to 6,473.13, 9,710.23 and 1,856.13 is: 2,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.13 : 9,710.23 = 1,856.13 : x
  2. Step 2: Convert to fraction form
    6,473.13/9,710.23 = 1,856.13/x
  3. Step 3: Cross multiply
    6,473.13x = 9,710.23 × 1,856.13
  4. Step 4: Simplify right side
    6,473.13x = 18,023,449.21
  5. Step 5: Solve for x
    x = 18,023,449.21/6,473.13
  6. Step 6: Final answer
    x = 2,784.35

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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.