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Finding the Fourth Proportional to 9,345.78, 12,896.28 and 5,153.76

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Solution

The fourth proportional to 9,345.78, 12,896.28 and 5,153.76 is: 7,111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.78 : 12,896.28 = 5,153.76 : x
  2. Step 2: Convert to fraction form
    9,345.78/12,896.28 = 5,153.76/x
  3. Step 3: Cross multiply
    9,345.78x = 12,896.28 × 5,153.76
  4. Step 4: Simplify right side
    9,345.78x = 66,464,332.01
  5. Step 5: Solve for x
    x = 66,464,332.01/9,345.78
  6. Step 6: Final answer
    x = 7,111.69

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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.