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Finding the Fourth Proportional to 9,102.40, 12,563.20 and 5,377.60

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Solution

The fourth proportional to 9,102.40, 12,563.20 and 5,377.60 is: 7,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.40 : 12,563.20 = 5,377.60 : x
  2. Step 2: Convert to fraction form
    9,102.40/12,563.20 = 5,377.60/x
  3. Step 3: Cross multiply
    9,102.40x = 12,563.20 × 5,377.60
  4. Step 4: Simplify right side
    9,102.40x = 67,559,864.32
  5. Step 5: Solve for x
    x = 67,559,864.32/9,102.40
  6. Step 6: Final answer
    x = 7,422.20

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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.