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Finding the Fourth Proportional to 9,981.56, 13,774.63 and 5,505.46

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Solution

The fourth proportional to 9,981.56, 13,774.63 and 5,505.46 is: 7,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.56 : 13,774.63 = 5,505.46 : x
  2. Step 2: Convert to fraction form
    9,981.56/13,774.63 = 5,505.46/x
  3. Step 3: Cross multiply
    9,981.56x = 13,774.63 × 5,505.46
  4. Step 4: Simplify right side
    9,981.56x = 75,835,674.48
  5. Step 5: Solve for x
    x = 75,835,674.48/9,981.56
  6. Step 6: Final answer
    x = 7,597.58

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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.