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Finding the Fourth Proportional to 9,645.26, 13,318.01 and 7,403.58

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Solution

The fourth proportional to 9,645.26, 13,318.01 and 7,403.58 is: 10,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.26 : 13,318.01 = 7,403.58 : x
  2. Step 2: Convert to fraction form
    9,645.26/13,318.01 = 7,403.58/x
  3. Step 3: Cross multiply
    9,645.26x = 13,318.01 × 7,403.58
  4. Step 4: Simplify right side
    9,645.26x = 98,600,952.48
  5. Step 5: Solve for x
    x = 98,600,952.48/9,645.26
  6. Step 6: Final answer
    x = 10,222.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.