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Finding the Fourth Proportional to 9,461.06, 13,051.86 and 6,104.93

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Solution

The fourth proportional to 9,461.06, 13,051.86 and 6,104.93 is: 8,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.06 : 13,051.86 = 6,104.93 : x
  2. Step 2: Convert to fraction form
    9,461.06/13,051.86 = 6,104.93/x
  3. Step 3: Cross multiply
    9,461.06x = 13,051.86 × 6,104.93
  4. Step 4: Simplify right side
    9,461.06x = 79,680,724.30
  5. Step 5: Solve for x
    x = 79,680,724.30/9,461.06
  6. Step 6: Final answer
    x = 8,421.97

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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.