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Finding the Fourth Proportional to 9,282.48, 13,914 and 6,813.60

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Solution

The fourth proportional to 9,282.48, 13,914 and 6,813.60 is: 10,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.48 : 13,914 = 6,813.60 : x
  2. Step 2: Convert to fraction form
    9,282.48/13,914 = 6,813.60/x
  3. Step 3: Cross multiply
    9,282.48x = 13,914 × 6,813.60
  4. Step 4: Simplify right side
    9,282.48x = 94,804,430.40
  5. Step 5: Solve for x
    x = 94,804,430.40/9,282.48
  6. Step 6: Final answer
    x = 10,213.27

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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.