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Finding the Fourth Proportional to 9,345.59, 12,896.91 and 5,153.84

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Solution

The fourth proportional to 9,345.59, 12,896.91 and 5,153.84 is: 7,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.59 : 12,896.91 = 5,153.84 : x
  2. Step 2: Convert to fraction form
    9,345.59/12,896.91 = 5,153.84/x
  3. Step 3: Cross multiply
    9,345.59x = 12,896.91 × 5,153.84
  4. Step 4: Simplify right side
    9,345.59x = 66,468,642.88
  5. Step 5: Solve for x
    x = 66,468,642.88/9,345.59
  6. Step 6: Final answer
    x = 7,112.30

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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.