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Finding the Fourth Proportional to 9,514.37, 13,142.37 and 7,303.56

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Solution

The fourth proportional to 9,514.37, 13,142.37 and 7,303.56 is: 10,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.37 : 13,142.37 = 7,303.56 : x
  2. Step 2: Convert to fraction form
    9,514.37/13,142.37 = 7,303.56/x
  3. Step 3: Cross multiply
    9,514.37x = 13,142.37 × 7,303.56
  4. Step 4: Simplify right side
    9,514.37x = 95,986,087.84
  5. Step 5: Solve for x
    x = 95,986,087.84/9,514.37
  6. Step 6: Final answer
    x = 10,088.54

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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.