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Finding the Fourth Proportional to 9,746.01, 13,454.91 and 6,165.72

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Solution

The fourth proportional to 9,746.01, 13,454.91 and 6,165.72 is: 8,512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.01 : 13,454.91 = 6,165.72 : x
  2. Step 2: Convert to fraction form
    9,746.01/13,454.91 = 6,165.72/x
  3. Step 3: Cross multiply
    9,746.01x = 13,454.91 × 6,165.72
  4. Step 4: Simplify right side
    9,746.01x = 82,959,207.69
  5. Step 5: Solve for x
    x = 82,959,207.69/9,746.01
  6. Step 6: Final answer
    x = 8,512.12

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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.