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Finding the Fourth Proportional to 9,386.56, 12,951.62 and 5,353.29

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Solution

The fourth proportional to 9,386.56, 12,951.62 and 5,353.29 is: 7,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.56 : 12,951.62 = 5,353.29 : x
  2. Step 2: Convert to fraction form
    9,386.56/12,951.62 = 5,353.29/x
  3. Step 3: Cross multiply
    9,386.56x = 12,951.62 × 5,353.29
  4. Step 4: Simplify right side
    9,386.56x = 69,333,786.19
  5. Step 5: Solve for x
    x = 69,333,786.19/9,386.56
  6. Step 6: Final answer
    x = 7,386.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.