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Finding the Fourth Proportional to 9,981.64, 13,774.62 and 5,505.58

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Solution

The fourth proportional to 9,981.64, 13,774.62 and 5,505.58 is: 7,597.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.64 : 13,774.62 = 5,505.58 : x
  2. Step 2: Convert to fraction form
    9,981.64/13,774.62 = 5,505.58/x
  3. Step 3: Cross multiply
    9,981.64x = 13,774.62 × 5,505.58
  4. Step 4: Simplify right side
    9,981.64x = 75,837,272.38
  5. Step 5: Solve for x
    x = 75,837,272.38/9,981.64
  6. Step 6: Final answer
    x = 7,597.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.