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Finding the Fourth Proportional to 9,837.52, 13,572 and 6,300.16

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Solution

The fourth proportional to 9,837.52, 13,572 and 6,300.16 is: 8,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.52 : 13,572 = 6,300.16 : x
  2. Step 2: Convert to fraction form
    9,837.52/13,572 = 6,300.16/x
  3. Step 3: Cross multiply
    9,837.52x = 13,572 × 6,300.16
  4. Step 4: Simplify right side
    9,837.52x = 85,505,771.52
  5. Step 5: Solve for x
    x = 85,505,771.52/9,837.52
  6. Step 6: Final answer
    x = 8,691.80

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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.