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Finding the Fourth Proportional to 9,573.12, 13,124.70 and 9,398.16

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Solution

The fourth proportional to 9,573.12, 13,124.70 and 9,398.16 is: 12,884.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573.12 : 13,124.70 = 9,398.16 : x
  2. Step 2: Convert to fraction form
    9,573.12/13,124.70 = 9,398.16/x
  3. Step 3: Cross multiply
    9,573.12x = 13,124.70 × 9,398.16
  4. Step 4: Simplify right side
    9,573.12x = 123,348,030.55
  5. Step 5: Solve for x
    x = 123,348,030.55/9,573.12
  6. Step 6: Final answer
    x = 12,884.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.