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Finding the Fourth Proportional to 9,130.12, 12,588.14 and 7,619.86

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Solution

The fourth proportional to 9,130.12, 12,588.14 and 7,619.86 is: 10,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.12 : 12,588.14 = 7,619.86 : x
  2. Step 2: Convert to fraction form
    9,130.12/12,588.14 = 7,619.86/x
  3. Step 3: Cross multiply
    9,130.12x = 12,588.14 × 7,619.86
  4. Step 4: Simplify right side
    9,130.12x = 95,919,864.46
  5. Step 5: Solve for x
    x = 95,919,864.46/9,130.12
  6. Step 6: Final answer
    x = 10,505.87

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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.