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Finding the Fourth Proportional to 6,410.06, 9,614.18 and 1,730.40

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Solution

The fourth proportional to 6,410.06, 9,614.18 and 1,730.40 is: 2,595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.06 : 9,614.18 = 1,730.40 : x
  2. Step 2: Convert to fraction form
    6,410.06/9,614.18 = 1,730.40/x
  3. Step 3: Cross multiply
    6,410.06x = 9,614.18 × 1,730.40
  4. Step 4: Simplify right side
    6,410.06x = 16,636,377.07
  5. Step 5: Solve for x
    x = 16,636,377.07/6,410.06
  6. Step 6: Final answer
    x = 2,595.35

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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.