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Finding the Fourth Proportional to 9,453.78, 14,164.47 and 6,675.48

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Solution

The fourth proportional to 9,453.78, 14,164.47 and 6,675.48 is: 10,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.78 : 14,164.47 = 6,675.48 : x
  2. Step 2: Convert to fraction form
    9,453.78/14,164.47 = 6,675.48/x
  3. Step 3: Cross multiply
    9,453.78x = 14,164.47 × 6,675.48
  4. Step 4: Simplify right side
    9,453.78x = 94,554,636.20
  5. Step 5: Solve for x
    x = 94,554,636.20/9,453.78
  6. Step 6: Final answer
    x = 10,001.78

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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.