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Finding the Fourth Proportional to 9,981.69, 13,774.64 and 5,505.47

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Solution

The fourth proportional to 9,981.69, 13,774.64 and 5,505.47 is: 7,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.69 : 13,774.64 = 5,505.47 : x
  2. Step 2: Convert to fraction form
    9,981.69/13,774.64 = 5,505.47/x
  3. Step 3: Cross multiply
    9,981.69x = 13,774.64 × 5,505.47
  4. Step 4: Simplify right side
    9,981.69x = 75,835,915.98
  5. Step 5: Solve for x
    x = 75,835,915.98/9,981.69
  6. Step 6: Final answer
    x = 7,597.50

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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.