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Finding the Fourth Proportional to 9,102.53, 13,653.64 and 4,102.12

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Solution

The fourth proportional to 9,102.53, 13,653.64 and 4,102.12 is: 6,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.53 : 13,653.64 = 4,102.12 : x
  2. Step 2: Convert to fraction form
    9,102.53/13,653.64 = 4,102.12/x
  3. Step 3: Cross multiply
    9,102.53x = 13,653.64 × 4,102.12
  4. Step 4: Simplify right side
    9,102.53x = 56,008,841.97
  5. Step 5: Solve for x
    x = 56,008,841.97/9,102.53
  6. Step 6: Final answer
    x = 6,153.11

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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.