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Finding the Fourth Proportional to 9,794.06, 13,510.14 and 6,253.28

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Solution

The fourth proportional to 9,794.06, 13,510.14 and 6,253.28 is: 8,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.06 : 13,510.14 = 6,253.28 : x
  2. Step 2: Convert to fraction form
    9,794.06/13,510.14 = 6,253.28/x
  3. Step 3: Cross multiply
    9,794.06x = 13,510.14 × 6,253.28
  4. Step 4: Simplify right side
    9,794.06x = 84,482,620.71
  5. Step 5: Solve for x
    x = 84,482,620.71/9,794.06
  6. Step 6: Final answer
    x = 8,625.91

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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.