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Finding the Fourth Proportional to 6,322.13, 9,483.20 and 1,705.13

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Solution

The fourth proportional to 6,322.13, 9,483.20 and 1,705.13 is: 2,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.13 : 9,483.20 = 1,705.13 : x
  2. Step 2: Convert to fraction form
    6,322.13/9,483.20 = 1,705.13/x
  3. Step 3: Cross multiply
    6,322.13x = 9,483.20 × 1,705.13
  4. Step 4: Simplify right side
    6,322.13x = 16,170,088.82
  5. Step 5: Solve for x
    x = 16,170,088.82/6,322.13
  6. Step 6: Final answer
    x = 2,557.70

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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.