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Finding the Fourth Proportional to 9,398.06, 12,970.11 and 5,206.70

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Solution

The fourth proportional to 9,398.06, 12,970.11 and 5,206.70 is: 7,185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.06 : 12,970.11 = 5,206.70 : x
  2. Step 2: Convert to fraction form
    9,398.06/12,970.11 = 5,206.70/x
  3. Step 3: Cross multiply
    9,398.06x = 12,970.11 × 5,206.70
  4. Step 4: Simplify right side
    9,398.06x = 67,531,471.74
  5. Step 5: Solve for x
    x = 67,531,471.74/9,398.06
  6. Step 6: Final answer
    x = 7,185.68

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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.