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Finding the Fourth Proportional to 9,528.64, 14,295.36 and 3,683.68

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Solution

The fourth proportional to 9,528.64, 14,295.36 and 3,683.68 is: 5,526.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.64 : 14,295.36 = 3,683.68 : x
  2. Step 2: Convert to fraction form
    9,528.64/14,295.36 = 3,683.68/x
  3. Step 3: Cross multiply
    9,528.64x = 14,295.36 × 3,683.68
  4. Step 4: Simplify right side
    9,528.64x = 52,659,531.72
  5. Step 5: Solve for x
    x = 52,659,531.72/9,528.64
  6. Step 6: Final answer
    x = 5,526.45

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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.