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Finding the Fourth Proportional to 6,345.61, 9,518.40 and 2,395.80

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Solution

The fourth proportional to 6,345.61, 9,518.40 and 2,395.80 is: 3,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.61 : 9,518.40 = 2,395.80 : x
  2. Step 2: Convert to fraction form
    6,345.61/9,518.40 = 2,395.80/x
  3. Step 3: Cross multiply
    6,345.61x = 9,518.40 × 2,395.80
  4. Step 4: Simplify right side
    6,345.61x = 22,804,182.72
  5. Step 5: Solve for x
    x = 22,804,182.72/6,345.61
  6. Step 6: Final answer
    x = 3,593.70

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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.