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Finding the Fourth Proportional to 9,715.20, 14,551.20 and 7,506.60

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Solution

The fourth proportional to 9,715.20, 14,551.20 and 7,506.60 is: 11,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.20 : 14,551.20 = 7,506.60 : x
  2. Step 2: Convert to fraction form
    9,715.20/14,551.20 = 7,506.60/x
  3. Step 3: Cross multiply
    9,715.20x = 14,551.20 × 7,506.60
  4. Step 4: Simplify right side
    9,715.20x = 109,230,037.92
  5. Step 5: Solve for x
    x = 109,230,037.92/9,715.20
  6. Step 6: Final answer
    x = 11,243.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.