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Finding the Fourth Proportional to 9,292.59, 13,928.28 and 3,742.38

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Solution

The fourth proportional to 9,292.59, 13,928.28 and 3,742.38 is: 5,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.59 : 13,928.28 = 3,742.38 : x
  2. Step 2: Convert to fraction form
    9,292.59/13,928.28 = 3,742.38/x
  3. Step 3: Cross multiply
    9,292.59x = 13,928.28 × 3,742.38
  4. Step 4: Simplify right side
    9,292.59x = 52,124,916.51
  5. Step 5: Solve for x
    x = 52,124,916.51/9,292.59
  6. Step 6: Final answer
    x = 5,609.30

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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.