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Finding the Fourth Proportional to 9,746.56, 13,434.96 and 8,565.60

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Solution

The fourth proportional to 9,746.56, 13,434.96 and 8,565.60 is: 11,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.56 : 13,434.96 = 8,565.60 : x
  2. Step 2: Convert to fraction form
    9,746.56/13,434.96 = 8,565.60/x
  3. Step 3: Cross multiply
    9,746.56x = 13,434.96 × 8,565.60
  4. Step 4: Simplify right side
    9,746.56x = 115,078,493.38
  5. Step 5: Solve for x
    x = 115,078,493.38/9,746.56
  6. Step 6: Final answer
    x = 11,807.09

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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.