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Finding the Fourth Proportional to 9,345.76, 12,896.40 and 5,153.44

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Solution

The fourth proportional to 9,345.76, 12,896.40 and 5,153.44 is: 7,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.76 : 12,896.40 = 5,153.44 : x
  2. Step 2: Convert to fraction form
    9,345.76/12,896.40 = 5,153.44/x
  3. Step 3: Cross multiply
    9,345.76x = 12,896.40 × 5,153.44
  4. Step 4: Simplify right side
    9,345.76x = 66,460,823.62
  5. Step 5: Solve for x
    x = 66,460,823.62/9,345.76
  6. Step 6: Final answer
    x = 7,111.33

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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.