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Finding the Fourth Proportional to 9,185.58, 12,670.83 and 5,822.70

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Solution

The fourth proportional to 9,185.58, 12,670.83 and 5,822.70 is: 8,031.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.58 : 12,670.83 = 5,822.70 : x
  2. Step 2: Convert to fraction form
    9,185.58/12,670.83 = 5,822.70/x
  3. Step 3: Cross multiply
    9,185.58x = 12,670.83 × 5,822.70
  4. Step 4: Simplify right side
    9,185.58x = 73,778,441.84
  5. Step 5: Solve for x
    x = 73,778,441.84/9,185.58
  6. Step 6: Final answer
    x = 8,031.99

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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.