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Finding the Fourth Proportional to 9,878.44, 13,633.54 and 5,631.06

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Solution

The fourth proportional to 9,878.44, 13,633.54 and 5,631.06 is: 7,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.44 : 13,633.54 = 5,631.06 : x
  2. Step 2: Convert to fraction form
    9,878.44/13,633.54 = 5,631.06/x
  3. Step 3: Cross multiply
    9,878.44x = 13,633.54 × 5,631.06
  4. Step 4: Simplify right side
    9,878.44x = 76,771,281.75
  5. Step 5: Solve for x
    x = 76,771,281.75/9,878.44
  6. Step 6: Final answer
    x = 7,771.60

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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.