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Finding the Fourth Proportional to 9,853.61, 14,776.03 and 3,611.98

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Solution

The fourth proportional to 9,853.61, 14,776.03 and 3,611.98 is: 5,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.61 : 14,776.03 = 3,611.98 : x
  2. Step 2: Convert to fraction form
    9,853.61/14,776.03 = 3,611.98/x
  3. Step 3: Cross multiply
    9,853.61x = 14,776.03 × 3,611.98
  4. Step 4: Simplify right side
    9,853.61x = 53,370,632.90
  5. Step 5: Solve for x
    x = 53,370,632.90/9,853.61
  6. Step 6: Final answer
    x = 5,416.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.