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Finding the Fourth Proportional to 9,683.70, 14,515.76 and 6,564.03

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Solution

The fourth proportional to 9,683.70, 14,515.76 and 6,564.03 is: 9,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.70 : 14,515.76 = 6,564.03 : x
  2. Step 2: Convert to fraction form
    9,683.70/14,515.76 = 6,564.03/x
  3. Step 3: Cross multiply
    9,683.70x = 14,515.76 × 6,564.03
  4. Step 4: Simplify right side
    9,683.70x = 95,281,778.71
  5. Step 5: Solve for x
    x = 95,281,778.71/9,683.70
  6. Step 6: Final answer
    x = 9,839.40

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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.