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Finding the Fourth Proportional to 9,645.93, 14,474.64 and 4,308.69

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Solution

The fourth proportional to 9,645.93, 14,474.64 and 4,308.69 is: 6,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.93 : 14,474.64 = 4,308.69 : x
  2. Step 2: Convert to fraction form
    9,645.93/14,474.64 = 4,308.69/x
  3. Step 3: Cross multiply
    9,645.93x = 14,474.64 × 4,308.69
  4. Step 4: Simplify right side
    9,645.93x = 62,366,736.62
  5. Step 5: Solve for x
    x = 62,366,736.62/9,645.93
  6. Step 6: Final answer
    x = 6,465.60

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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.