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Finding the Fourth Proportional to 9,241.60, 13,861.76 and 2,316.16

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Solution

The fourth proportional to 9,241.60, 13,861.76 and 2,316.16 is: 3,474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.60 : 13,861.76 = 2,316.16 : x
  2. Step 2: Convert to fraction form
    9,241.60/13,861.76 = 2,316.16/x
  3. Step 3: Cross multiply
    9,241.60x = 13,861.76 × 2,316.16
  4. Step 4: Simplify right side
    9,241.60x = 32,106,054.04
  5. Step 5: Solve for x
    x = 32,106,054.04/9,241.60
  6. Step 6: Final answer
    x = 3,474.08

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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.