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Finding the Fourth Proportional to 9,345.74, 12,896.25 and 5,153.96

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Solution

The fourth proportional to 9,345.74, 12,896.25 and 5,153.96 is: 7,111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.74 : 12,896.25 = 5,153.96 : x
  2. Step 2: Convert to fraction form
    9,345.74/12,896.25 = 5,153.96/x
  3. Step 3: Cross multiply
    9,345.74x = 12,896.25 × 5,153.96
  4. Step 4: Simplify right side
    9,345.74x = 66,466,756.65
  5. Step 5: Solve for x
    x = 66,466,756.65/9,345.74
  6. Step 6: Final answer
    x = 7,111.98

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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.