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Finding the Fourth Proportional to 9,528.63, 13,149.50 and 5,802.63

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Solution

The fourth proportional to 9,528.63, 13,149.50 and 5,802.63 is: 8,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.63 : 13,149.50 = 5,802.63 : x
  2. Step 2: Convert to fraction form
    9,528.63/13,149.50 = 5,802.63/x
  3. Step 3: Cross multiply
    9,528.63x = 13,149.50 × 5,802.63
  4. Step 4: Simplify right side
    9,528.63x = 76,301,683.19
  5. Step 5: Solve for x
    x = 76,301,683.19/9,528.63
  6. Step 6: Final answer
    x = 8,007.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.