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Finding the Fourth Proportional to 9,580.36, 14,360.80 and 7,267

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Solution

The fourth proportional to 9,580.36, 14,360.80 and 7,267 is: 10,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.36 : 14,360.80 = 7,267 : x
  2. Step 2: Convert to fraction form
    9,580.36/14,360.80 = 7,267/x
  3. Step 3: Cross multiply
    9,580.36x = 14,360.80 × 7,267
  4. Step 4: Simplify right side
    9,580.36x = 104,359,933.60
  5. Step 5: Solve for x
    x = 104,359,933.60/9,580.36
  6. Step 6: Final answer
    x = 10,893.11

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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.