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Finding the Fourth Proportional to 6,316, 9,466.77 and 3,543.94

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Solution

The fourth proportional to 6,316, 9,466.77 and 3,543.94 is: 5,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316 : 9,466.77 = 3,543.94 : x
  2. Step 2: Convert to fraction form
    6,316/9,466.77 = 3,543.94/x
  3. Step 3: Cross multiply
    6,316x = 9,466.77 × 3,543.94
  4. Step 4: Simplify right side
    6,316x = 33,549,664.87
  5. Step 5: Solve for x
    x = 33,549,664.87/6,316
  6. Step 6: Final answer
    x = 5,311.85

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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.