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Finding the Fourth Proportional to 9,981.64, 13,774.01 and 5,505.42

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Solution

The fourth proportional to 9,981.64, 13,774.01 and 5,505.42 is: 7,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.64 : 13,774.01 = 5,505.42 : x
  2. Step 2: Convert to fraction form
    9,981.64/13,774.01 = 5,505.42/x
  3. Step 3: Cross multiply
    9,981.64x = 13,774.01 × 5,505.42
  4. Step 4: Simplify right side
    9,981.64x = 75,831,710.13
  5. Step 5: Solve for x
    x = 75,831,710.13/9,981.64
  6. Step 6: Final answer
    x = 7,597.12

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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.