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Finding the Fourth Proportional to 9,532.34, 13,153.38 and 5,499.32

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Solution

The fourth proportional to 9,532.34, 13,153.38 and 5,499.32 is: 7,588.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.34 : 13,153.38 = 5,499.32 : x
  2. Step 2: Convert to fraction form
    9,532.34/13,153.38 = 5,499.32/x
  3. Step 3: Cross multiply
    9,532.34x = 13,153.38 × 5,499.32
  4. Step 4: Simplify right side
    9,532.34x = 72,334,559.31
  5. Step 5: Solve for x
    x = 72,334,559.31/9,532.34
  6. Step 6: Final answer
    x = 7,588.33

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Why These Related Problems?

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