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Finding the Fourth Proportional to 9,316.54, 13,967.28 and 3,072.66

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Solution

The fourth proportional to 9,316.54, 13,967.28 and 3,072.66 is: 4,606.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.54 : 13,967.28 = 3,072.66 : x
  2. Step 2: Convert to fraction form
    9,316.54/13,967.28 = 3,072.66/x
  3. Step 3: Cross multiply
    9,316.54x = 13,967.28 × 3,072.66
  4. Step 4: Simplify right side
    9,316.54x = 42,916,702.56
  5. Step 5: Solve for x
    x = 42,916,702.56/9,316.54
  6. Step 6: Final answer
    x = 4,606.51

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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.