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Finding the Fourth Proportional to 9,098.40, 12,551.76 and 5,563.20

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Solution

The fourth proportional to 9,098.40, 12,551.76 and 5,563.20 is: 7,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.40 : 12,551.76 = 5,563.20 : x
  2. Step 2: Convert to fraction form
    9,098.40/12,551.76 = 5,563.20/x
  3. Step 3: Cross multiply
    9,098.40x = 12,551.76 × 5,563.20
  4. Step 4: Simplify right side
    9,098.40x = 69,827,951.23
  5. Step 5: Solve for x
    x = 69,827,951.23/9,098.40
  6. Step 6: Final answer
    x = 7,674.75

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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.