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Finding the Fourth Proportional to 9,461.86, 13,056.45 and 5,212.87

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Solution

The fourth proportional to 9,461.86, 13,056.45 and 5,212.87 is: 7,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.86 : 13,056.45 = 5,212.87 : x
  2. Step 2: Convert to fraction form
    9,461.86/13,056.45 = 5,212.87/x
  3. Step 3: Cross multiply
    9,461.86x = 13,056.45 × 5,212.87
  4. Step 4: Simplify right side
    9,461.86x = 68,061,576.51
  5. Step 5: Solve for x
    x = 68,061,576.51/9,461.86
  6. Step 6: Final answer
    x = 7,193.26

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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.