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Finding the Fourth Proportional to 9,829.44, 13,563.45 and 5,580.99

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Solution

The fourth proportional to 9,829.44, 13,563.45 and 5,580.99 is: 7,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.44 : 13,563.45 = 5,580.99 : x
  2. Step 2: Convert to fraction form
    9,829.44/13,563.45 = 5,580.99/x
  3. Step 3: Cross multiply
    9,829.44x = 13,563.45 × 5,580.99
  4. Step 4: Simplify right side
    9,829.44x = 75,697,478.82
  5. Step 5: Solve for x
    x = 75,697,478.82/9,829.44
  6. Step 6: Final answer
    x = 7,701.10

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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.