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Finding the Fourth Proportional to 9,617.06, 13,256.38 and 7,091.08

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Solution

The fourth proportional to 9,617.06, 13,256.38 and 7,091.08 is: 9,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.06 : 13,256.38 = 7,091.08 : x
  2. Step 2: Convert to fraction form
    9,617.06/13,256.38 = 7,091.08/x
  3. Step 3: Cross multiply
    9,617.06x = 13,256.38 × 7,091.08
  4. Step 4: Simplify right side
    9,617.06x = 94,002,051.09
  5. Step 5: Solve for x
    x = 94,002,051.09/9,617.06
  6. Step 6: Final answer
    x = 9,774.51

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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.