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Finding the Fourth Proportional to 6,316.00, 9,455.66 and 3,675.45

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Solution

The fourth proportional to 6,316.00, 9,455.66 and 3,675.45 is: 5,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,316.00 : 9,455.66 = 3,675.45 : x
  2. Step 2: Convert to fraction form
    6,316.00/9,455.66 = 3,675.45/x
  3. Step 3: Cross multiply
    6,316.00x = 9,455.66 × 3,675.45
  4. Step 4: Simplify right side
    6,316.00x = 34,753,820.15
  5. Step 5: Solve for x
    x = 34,753,820.15/6,316.00
  6. Step 6: Final answer
    x = 5,502.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.