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Finding the Fourth Proportional to 9,984.84, 13,779.41 and 5,508.78

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Solution

The fourth proportional to 9,984.84, 13,779.41 and 5,508.78 is: 7,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.84 : 13,779.41 = 5,508.78 : x
  2. Step 2: Convert to fraction form
    9,984.84/13,779.41 = 5,508.78/x
  3. Step 3: Cross multiply
    9,984.84x = 13,779.41 × 5,508.78
  4. Step 4: Simplify right side
    9,984.84x = 75,907,738.22
  5. Step 5: Solve for x
    x = 75,907,738.22/9,984.84
  6. Step 6: Final answer
    x = 7,602.30

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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.