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Finding the Fourth Proportional to 9,683.84, 14,526.96 and 3,110.48

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Solution

The fourth proportional to 9,683.84, 14,526.96 and 3,110.48 is: 4,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.84 : 14,526.96 = 3,110.48 : x
  2. Step 2: Convert to fraction form
    9,683.84/14,526.96 = 3,110.48/x
  3. Step 3: Cross multiply
    9,683.84x = 14,526.96 × 3,110.48
  4. Step 4: Simplify right side
    9,683.84x = 45,185,818.54
  5. Step 5: Solve for x
    x = 45,185,818.54/9,683.84
  6. Step 6: Final answer
    x = 4,666.11

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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.