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Finding the Fourth Proportional to 9,119.82, 12,595.73 and 6,130.47

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Solution

The fourth proportional to 9,119.82, 12,595.73 and 6,130.47 is: 8,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.82 : 12,595.73 = 6,130.47 : x
  2. Step 2: Convert to fraction form
    9,119.82/12,595.73 = 6,130.47/x
  3. Step 3: Cross multiply
    9,119.82x = 12,595.73 × 6,130.47
  4. Step 4: Simplify right side
    9,119.82x = 77,217,744.89
  5. Step 5: Solve for x
    x = 77,217,744.89/9,119.82
  6. Step 6: Final answer
    x = 8,467.03

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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.