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Finding the Fourth Proportional to 9,120.34, 12,596.45 and 6,130.99

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Solution

The fourth proportional to 9,120.34, 12,596.45 and 6,130.99 is: 8,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.34 : 12,596.45 = 6,130.99 : x
  2. Step 2: Convert to fraction form
    9,120.34/12,596.45 = 6,130.99/x
  3. Step 3: Cross multiply
    9,120.34x = 12,596.45 × 6,130.99
  4. Step 4: Simplify right side
    9,120.34x = 77,228,708.99
  5. Step 5: Solve for x
    x = 77,228,708.99/9,120.34
  6. Step 6: Final answer
    x = 8,467.74

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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.