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Finding the Fourth Proportional to 9,975.76, 13,769.16 and 6,830.80

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Solution

The fourth proportional to 9,975.76, 13,769.16 and 6,830.80 is: 9,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.76 : 13,769.16 = 6,830.80 : x
  2. Step 2: Convert to fraction form
    9,975.76/13,769.16 = 6,830.80/x
  3. Step 3: Cross multiply
    9,975.76x = 13,769.16 × 6,830.80
  4. Step 4: Simplify right side
    9,975.76x = 94,054,378.13
  5. Step 5: Solve for x
    x = 94,054,378.13/9,975.76
  6. Step 6: Final answer
    x = 9,428.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.