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Finding the Fourth Proportional to 9,693.78, 14,531.40 and 6,172.98

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Solution

The fourth proportional to 9,693.78, 14,531.40 and 6,172.98 is: 9,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.78 : 14,531.40 = 6,172.98 : x
  2. Step 2: Convert to fraction form
    9,693.78/14,531.40 = 6,172.98/x
  3. Step 3: Cross multiply
    9,693.78x = 14,531.40 × 6,172.98
  4. Step 4: Simplify right side
    9,693.78x = 89,702,041.57
  5. Step 5: Solve for x
    x = 89,702,041.57/9,693.78
  6. Step 6: Final answer
    x = 9,253.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.