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Finding the Fourth Proportional to 9,345.42, 12,896.70 and 5,153.70

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Solution

The fourth proportional to 9,345.42, 12,896.70 and 5,153.70 is: 7,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.42 : 12,896.70 = 5,153.70 : x
  2. Step 2: Convert to fraction form
    9,345.42/12,896.70 = 5,153.70/x
  3. Step 3: Cross multiply
    9,345.42x = 12,896.70 × 5,153.70
  4. Step 4: Simplify right side
    9,345.42x = 66,465,722.79
  5. Step 5: Solve for x
    x = 66,465,722.79/9,345.42
  6. Step 6: Final answer
    x = 7,112.12

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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.