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Finding the Fourth Proportional to 9,705.56, 13,360.63 and 7,182.91

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Solution

The fourth proportional to 9,705.56, 13,360.63 and 7,182.91 is: 9,887.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.56 : 13,360.63 = 7,182.91 : x
  2. Step 2: Convert to fraction form
    9,705.56/13,360.63 = 7,182.91/x
  3. Step 3: Cross multiply
    9,705.56x = 13,360.63 × 7,182.91
  4. Step 4: Simplify right side
    9,705.56x = 95,968,215.04
  5. Step 5: Solve for x
    x = 95,968,215.04/9,705.56
  6. Step 6: Final answer
    x = 9,887.97

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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.