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Finding the Fourth Proportional to 6,981.49, 9,631.25 and 6,185.63

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Solution

The fourth proportional to 6,981.49, 9,631.25 and 6,185.63 is: 8,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.49 : 9,631.25 = 6,185.63 : x
  2. Step 2: Convert to fraction form
    6,981.49/9,631.25 = 6,185.63/x
  3. Step 3: Cross multiply
    6,981.49x = 9,631.25 × 6,185.63
  4. Step 4: Simplify right side
    6,981.49x = 59,575,348.94
  5. Step 5: Solve for x
    x = 59,575,348.94/6,981.49
  6. Step 6: Final answer
    x = 8,533.32

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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.