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Finding the Fourth Proportional to 9,685.66, 14,527.08 and 3,110.98

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Solution

The fourth proportional to 9,685.66, 14,527.08 and 3,110.98 is: 4,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.66 : 14,527.08 = 3,110.98 : x
  2. Step 2: Convert to fraction form
    9,685.66/14,527.08 = 3,110.98/x
  3. Step 3: Cross multiply
    9,685.66x = 14,527.08 × 3,110.98
  4. Step 4: Simplify right side
    9,685.66x = 45,193,455.34
  5. Step 5: Solve for x
    x = 45,193,455.34/9,685.66
  6. Step 6: Final answer
    x = 4,666.02

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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.