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Finding the Fourth Proportional to 9,683.74, 14,528.45 and 5,006.40

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Solution

The fourth proportional to 9,683.74, 14,528.45 and 5,006.40 is: 7,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.74 : 14,528.45 = 5,006.40 : x
  2. Step 2: Convert to fraction form
    9,683.74/14,528.45 = 5,006.40/x
  3. Step 3: Cross multiply
    9,683.74x = 14,528.45 × 5,006.40
  4. Step 4: Simplify right side
    9,683.74x = 72,735,232.08
  5. Step 5: Solve for x
    x = 72,735,232.08/9,683.74
  6. Step 6: Final answer
    x = 7,511.07

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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.