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Finding the Fourth Proportional to 9,185.16, 12,675.54 and 4,993.40

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Solution

The fourth proportional to 9,185.16, 12,675.54 and 4,993.40 is: 6,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.16 : 12,675.54 = 4,993.40 : x
  2. Step 2: Convert to fraction form
    9,185.16/12,675.54 = 4,993.40/x
  3. Step 3: Cross multiply
    9,185.16x = 12,675.54 × 4,993.40
  4. Step 4: Simplify right side
    9,185.16x = 63,294,041.44
  5. Step 5: Solve for x
    x = 63,294,041.44/9,185.16
  6. Step 6: Final answer
    x = 6,890.90

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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.