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Finding the Fourth Proportional to 9,899.51, 13,645.06 and 7,906.55

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Solution

The fourth proportional to 9,899.51, 13,645.06 and 7,906.55 is: 10,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.51 : 13,645.06 = 7,906.55 : x
  2. Step 2: Convert to fraction form
    9,899.51/13,645.06 = 7,906.55/x
  3. Step 3: Cross multiply
    9,899.51x = 13,645.06 × 7,906.55
  4. Step 4: Simplify right side
    9,899.51x = 107,885,309.61
  5. Step 5: Solve for x
    x = 107,885,309.61/9,899.51
  6. Step 6: Final answer
    x = 10,898.05

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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.