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Finding the Fourth Proportional to 9,280.36, 13,899 and 9,211.22

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Solution

The fourth proportional to 9,280.36, 13,899 and 9,211.22 is: 13,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.36 : 13,899 = 9,211.22 : x
  2. Step 2: Convert to fraction form
    9,280.36/13,899 = 9,211.22/x
  3. Step 3: Cross multiply
    9,280.36x = 13,899 × 9,211.22
  4. Step 4: Simplify right side
    9,280.36x = 128,026,746.78
  5. Step 5: Solve for x
    x = 128,026,746.78/9,280.36
  6. Step 6: Final answer
    x = 13,795.45

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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.