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Finding the Fourth Proportional to 9,820.48, 13,546.56 and 6,088

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Solution

The fourth proportional to 9,820.48, 13,546.56 and 6,088 is: 8,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.48 : 13,546.56 = 6,088 : x
  2. Step 2: Convert to fraction form
    9,820.48/13,546.56 = 6,088/x
  3. Step 3: Cross multiply
    9,820.48x = 13,546.56 × 6,088
  4. Step 4: Simplify right side
    9,820.48x = 82,471,457.28
  5. Step 5: Solve for x
    x = 82,471,457.28/9,820.48
  6. Step 6: Final answer
    x = 8,397.90

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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.