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Finding the Fourth Proportional to 9,937.42, 13,720.06 and 6,164.58

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Solution

The fourth proportional to 9,937.42, 13,720.06 and 6,164.58 is: 8,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.42 : 13,720.06 = 6,164.58 : x
  2. Step 2: Convert to fraction form
    9,937.42/13,720.06 = 6,164.58/x
  3. Step 3: Cross multiply
    9,937.42x = 13,720.06 × 6,164.58
  4. Step 4: Simplify right side
    9,937.42x = 84,578,407.47
  5. Step 5: Solve for x
    x = 84,578,407.47/9,937.42
  6. Step 6: Final answer
    x = 8,511.10

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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.