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Finding the Fourth Proportional to 9,730.50, 13,427.06 and 5,480.88

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Solution

The fourth proportional to 9,730.50, 13,427.06 and 5,480.88 is: 7,563.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.50 : 13,427.06 = 5,480.88 : x
  2. Step 2: Convert to fraction form
    9,730.50/13,427.06 = 5,480.88/x
  3. Step 3: Cross multiply
    9,730.50x = 13,427.06 × 5,480.88
  4. Step 4: Simplify right side
    9,730.50x = 73,592,104.61
  5. Step 5: Solve for x
    x = 73,592,104.61/9,730.50
  6. Step 6: Final answer
    x = 7,563.03

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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.