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Finding the Fourth Proportional to 9,164.30, 13,746.45 and 7,305.35

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Solution

The fourth proportional to 9,164.30, 13,746.45 and 7,305.35 is: 10,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.30 : 13,746.45 = 7,305.35 : x
  2. Step 2: Convert to fraction form
    9,164.30/13,746.45 = 7,305.35/x
  3. Step 3: Cross multiply
    9,164.30x = 13,746.45 × 7,305.35
  4. Step 4: Simplify right side
    9,164.30x = 100,422,628.51
  5. Step 5: Solve for x
    x = 100,422,628.51/9,164.30
  6. Step 6: Final answer
    x = 10,958.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.