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Finding the Fourth Proportional to 9,241.62, 13,856.76 and 4,312.32

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Solution

The fourth proportional to 9,241.62, 13,856.76 and 4,312.32 is: 6,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.62 : 13,856.76 = 4,312.32 : x
  2. Step 2: Convert to fraction form
    9,241.62/13,856.76 = 4,312.32/x
  3. Step 3: Cross multiply
    9,241.62x = 13,856.76 × 4,312.32
  4. Step 4: Simplify right side
    9,241.62x = 59,754,783.28
  5. Step 5: Solve for x
    x = 59,754,783.28/9,241.62
  6. Step 6: Final answer
    x = 6,465.83

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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.