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Finding the Fourth Proportional to 9,528.96, 13,120.08 and 8,654.16

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Solution

The fourth proportional to 9,528.96, 13,120.08 and 8,654.16 is: 11,915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.96 : 13,120.08 = 8,654.16 : x
  2. Step 2: Convert to fraction form
    9,528.96/13,120.08 = 8,654.16/x
  3. Step 3: Cross multiply
    9,528.96x = 13,120.08 × 8,654.16
  4. Step 4: Simplify right side
    9,528.96x = 113,543,271.53
  5. Step 5: Solve for x
    x = 113,543,271.53/9,528.96
  6. Step 6: Final answer
    x = 11,915.60

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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.