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Finding the Fourth Proportional to 9,619.47, 13,264.16 and 7,889.54

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Solution

The fourth proportional to 9,619.47, 13,264.16 and 7,889.54 is: 10,878.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.47 : 13,264.16 = 7,889.54 : x
  2. Step 2: Convert to fraction form
    9,619.47/13,264.16 = 7,889.54/x
  3. Step 3: Cross multiply
    9,619.47x = 13,264.16 × 7,889.54
  4. Step 4: Simplify right side
    9,619.47x = 104,648,015.12
  5. Step 5: Solve for x
    x = 104,648,015.12/9,619.47
  6. Step 6: Final answer
    x = 10,878.77

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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.