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Finding the Fourth Proportional to 9,398.50, 12,970.34 and 5,206.75

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Solution

The fourth proportional to 9,398.50, 12,970.34 and 5,206.75 is: 7,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.50 : 12,970.34 = 5,206.75 : x
  2. Step 2: Convert to fraction form
    9,398.50/12,970.34 = 5,206.75/x
  3. Step 3: Cross multiply
    9,398.50x = 12,970.34 × 5,206.75
  4. Step 4: Simplify right side
    9,398.50x = 67,533,317.80
  5. Step 5: Solve for x
    x = 67,533,317.80/9,398.50
  6. Step 6: Final answer
    x = 7,185.54

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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.