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Finding the Fourth Proportional to 9,575.12, 13,127.44 and 9,400.16

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Solution

The fourth proportional to 9,575.12, 13,127.44 and 9,400.16 is: 12,887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.12 : 13,127.44 = 9,400.16 : x
  2. Step 2: Convert to fraction form
    9,575.12/13,127.44 = 9,400.16/x
  3. Step 3: Cross multiply
    9,575.12x = 13,127.44 × 9,400.16
  4. Step 4: Simplify right side
    9,575.12x = 123,400,036.39
  5. Step 5: Solve for x
    x = 123,400,036.39/9,575.12
  6. Step 6: Final answer
    x = 12,887.57

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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.