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Finding the Fourth Proportional to 6,465.83, 9,684.36 and 6,308.69

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Solution

The fourth proportional to 6,465.83, 9,684.36 and 6,308.69 is: 9,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.83 : 9,684.36 = 6,308.69 : x
  2. Step 2: Convert to fraction form
    6,465.83/9,684.36 = 6,308.69/x
  3. Step 3: Cross multiply
    6,465.83x = 9,684.36 × 6,308.69
  4. Step 4: Simplify right side
    6,465.83x = 61,095,576.67
  5. Step 5: Solve for x
    x = 61,095,576.67/6,465.83
  6. Step 6: Final answer
    x = 9,449.00

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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.