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Finding the Fourth Proportional to 9,776.34, 13,490.28 and 5,583.78

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Solution

The fourth proportional to 9,776.34, 13,490.28 and 5,583.78 is: 7,705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.34 : 13,490.28 = 5,583.78 : x
  2. Step 2: Convert to fraction form
    9,776.34/13,490.28 = 5,583.78/x
  3. Step 3: Cross multiply
    9,776.34x = 13,490.28 × 5,583.78
  4. Step 4: Simplify right side
    9,776.34x = 75,326,755.66
  5. Step 5: Solve for x
    x = 75,326,755.66/9,776.34
  6. Step 6: Final answer
    x = 7,705.01

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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.