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Finding the Fourth Proportional to 6,345.35, 9,510.67 and 3,417.49

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Solution

The fourth proportional to 6,345.35, 9,510.67 and 3,417.49 is: 5,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.35 : 9,510.67 = 3,417.49 : x
  2. Step 2: Convert to fraction form
    6,345.35/9,510.67 = 3,417.49/x
  3. Step 3: Cross multiply
    6,345.35x = 9,510.67 × 3,417.49
  4. Step 4: Simplify right side
    6,345.35x = 32,502,619.62
  5. Step 5: Solve for x
    x = 32,502,619.62/6,345.35
  6. Step 6: Final answer
    x = 5,122.27

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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.