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Finding the Fourth Proportional to 9,975.69, 14,967.06 and 6,273.78

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Solution

The fourth proportional to 9,975.69, 14,967.06 and 6,273.78 is: 9,412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.69 : 14,967.06 = 6,273.78 : x
  2. Step 2: Convert to fraction form
    9,975.69/14,967.06 = 6,273.78/x
  3. Step 3: Cross multiply
    9,975.69x = 14,967.06 × 6,273.78
  4. Step 4: Simplify right side
    9,975.69x = 93,900,041.69
  5. Step 5: Solve for x
    x = 93,900,041.69/9,975.69
  6. Step 6: Final answer
    x = 9,412.89

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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.