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Finding the Fourth Proportional to 9,538.94, 14,301.99 and 3,688.70

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Solution

The fourth proportional to 9,538.94, 14,301.99 and 3,688.70 is: 5,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.94 : 14,301.99 = 3,688.70 : x
  2. Step 2: Convert to fraction form
    9,538.94/14,301.99 = 3,688.70/x
  3. Step 3: Cross multiply
    9,538.94x = 14,301.99 × 3,688.70
  4. Step 4: Simplify right side
    9,538.94x = 52,755,750.51
  5. Step 5: Solve for x
    x = 52,755,750.51/9,538.94
  6. Step 6: Final answer
    x = 5,530.57

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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.