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Finding the Fourth Proportional to 10,172.47, 15,223.32 and 6,222

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Solution

The fourth proportional to 10,172.47, 15,223.32 and 6,222 is: 9,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.47 : 15,223.32 = 6,222 : x
  2. Step 2: Convert to fraction form
    10,172.47/15,223.32 = 6,222/x
  3. Step 3: Cross multiply
    10,172.47x = 15,223.32 × 6,222
  4. Step 4: Simplify right side
    10,172.47x = 94,719,497.04
  5. Step 5: Solve for x
    x = 94,719,497.04/10,172.47
  6. Step 6: Final answer
    x = 9,311.36

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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.