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Finding the Fourth Proportional to 9,345.64, 12,896.40 and 5,153.98

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Solution

The fourth proportional to 9,345.64, 12,896.40 and 5,153.98 is: 7,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345.64 : 12,896.40 = 5,153.98 : x
  2. Step 2: Convert to fraction form
    9,345.64/12,896.40 = 5,153.98/x
  3. Step 3: Cross multiply
    9,345.64x = 12,896.40 × 5,153.98
  4. Step 4: Simplify right side
    9,345.64x = 66,467,787.67
  5. Step 5: Solve for x
    x = 66,467,787.67/9,345.64
  6. Step 6: Final answer
    x = 7,112.17

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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.