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Finding the Fourth Proportional to 9,184.76, 12,674.98 and 4,993

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Solution

The fourth proportional to 9,184.76, 12,674.98 and 4,993 is: 6,890.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,184.76 : 12,674.98 = 4,993 : x
  2. Step 2: Convert to fraction form
    9,184.76/12,674.98 = 4,993/x
  3. Step 3: Cross multiply
    9,184.76x = 12,674.98 × 4,993
  4. Step 4: Simplify right side
    9,184.76x = 63,286,175.14
  5. Step 5: Solve for x
    x = 63,286,175.14/9,184.76
  6. Step 6: Final answer
    x = 6,890.35

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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.