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Finding the Fourth Proportional to 9,534.72, 13,157.25 and 5,285.74

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Solution

The fourth proportional to 9,534.72, 13,157.25 and 5,285.74 is: 7,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.72 : 13,157.25 = 5,285.74 : x
  2. Step 2: Convert to fraction form
    9,534.72/13,157.25 = 5,285.74/x
  3. Step 3: Cross multiply
    9,534.72x = 13,157.25 × 5,285.74
  4. Step 4: Simplify right side
    9,534.72x = 69,545,802.62
  5. Step 5: Solve for x
    x = 69,545,802.62/9,534.72
  6. Step 6: Final answer
    x = 7,293.95

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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.