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Finding the Fourth Proportional to 9,645.42, 13,318.23 and 7,403.74

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Solution

The fourth proportional to 9,645.42, 13,318.23 and 7,403.74 is: 10,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.42 : 13,318.23 = 7,403.74 : x
  2. Step 2: Convert to fraction form
    9,645.42/13,318.23 = 7,403.74/x
  3. Step 3: Cross multiply
    9,645.42x = 13,318.23 × 7,403.74
  4. Step 4: Simplify right side
    9,645.42x = 98,604,675.16
  5. Step 5: Solve for x
    x = 98,604,675.16/9,645.42
  6. Step 6: Final answer
    x = 10,222.96

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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.