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Finding the Fourth Proportional to 6,188.59, 9,274.67 and 5,363

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Solution

The fourth proportional to 6,188.59, 9,274.67 and 5,363 is: 8,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.59 : 9,274.67 = 5,363 : x
  2. Step 2: Convert to fraction form
    6,188.59/9,274.67 = 5,363/x
  3. Step 3: Cross multiply
    6,188.59x = 9,274.67 × 5,363
  4. Step 4: Simplify right side
    6,188.59x = 49,740,055.21
  5. Step 5: Solve for x
    x = 49,740,055.21/6,188.59
  6. Step 6: Final answer
    x = 8,037.38

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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.