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Finding the Fourth Proportional to 9,445.50, 13,033.50 and 5,465.16

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Solution

The fourth proportional to 9,445.50, 13,033.50 and 5,465.16 is: 7,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.50 : 13,033.50 = 5,465.16 : x
  2. Step 2: Convert to fraction form
    9,445.50/13,033.50 = 5,465.16/x
  3. Step 3: Cross multiply
    9,445.50x = 13,033.50 × 5,465.16
  4. Step 4: Simplify right side
    9,445.50x = 71,230,162.86
  5. Step 5: Solve for x
    x = 71,230,162.86/9,445.50
  6. Step 6: Final answer
    x = 7,541.17

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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.