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Finding the Fourth Proportional to 9,322.98, 12,865.77 and 5,074.07

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Solution

The fourth proportional to 9,322.98, 12,865.77 and 5,074.07 is: 7,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.98 : 12,865.77 = 5,074.07 : x
  2. Step 2: Convert to fraction form
    9,322.98/12,865.77 = 5,074.07/x
  3. Step 3: Cross multiply
    9,322.98x = 12,865.77 × 5,074.07
  4. Step 4: Simplify right side
    9,322.98x = 65,281,817.58
  5. Step 5: Solve for x
    x = 65,281,817.58/9,322.98
  6. Step 6: Final answer
    x = 7,002.25

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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.