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Finding the Fourth Proportional to 9,448.16, 14,172.08 and 3,292

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Solution

The fourth proportional to 9,448.16, 14,172.08 and 3,292 is: 4,937.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.16 : 14,172.08 = 3,292 : x
  2. Step 2: Convert to fraction form
    9,448.16/14,172.08 = 3,292/x
  3. Step 3: Cross multiply
    9,448.16x = 14,172.08 × 3,292
  4. Step 4: Simplify right side
    9,448.16x = 46,654,487.36
  5. Step 5: Solve for x
    x = 46,654,487.36/9,448.16
  6. Step 6: Final answer
    x = 4,937.94

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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.