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Finding the Fourth Proportional to 9,970.46, 13,759.40 and 5,494.68

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Solution

The fourth proportional to 9,970.46, 13,759.40 and 5,494.68 is: 7,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.46 : 13,759.40 = 5,494.68 : x
  2. Step 2: Convert to fraction form
    9,970.46/13,759.40 = 5,494.68/x
  3. Step 3: Cross multiply
    9,970.46x = 13,759.40 × 5,494.68
  4. Step 4: Simplify right side
    9,970.46x = 75,603,499.99
  5. Step 5: Solve for x
    x = 75,603,499.99/9,970.46
  6. Step 6: Final answer
    x = 7,582.75

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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.