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Finding the Fourth Proportional to 9,534, 13,157.46 and 5,343.60

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Solution

The fourth proportional to 9,534, 13,157.46 and 5,343.60 is: 7,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534 : 13,157.46 = 5,343.60 : x
  2. Step 2: Convert to fraction form
    9,534/13,157.46 = 5,343.60/x
  3. Step 3: Cross multiply
    9,534x = 13,157.46 × 5,343.60
  4. Step 4: Simplify right side
    9,534x = 70,308,203.26
  5. Step 5: Solve for x
    x = 70,308,203.26/9,534
  6. Step 6: Final answer
    x = 7,374.47

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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.