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Finding the Fourth Proportional to 9,761.58, 13,461.76 and 6,407.30

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Solution

The fourth proportional to 9,761.58, 13,461.76 and 6,407.30 is: 8,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.58 : 13,461.76 = 6,407.30 : x
  2. Step 2: Convert to fraction form
    9,761.58/13,461.76 = 6,407.30/x
  3. Step 3: Cross multiply
    9,761.58x = 13,461.76 × 6,407.30
  4. Step 4: Simplify right side
    9,761.58x = 86,253,576.51
  5. Step 5: Solve for x
    x = 86,253,576.51/9,761.58
  6. Step 6: Final answer
    x = 8,836.03

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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.