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Finding the Fourth Proportional to 10,461.15, 14,398.83 and 9,464.31

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Solution

The fourth proportional to 10,461.15, 14,398.83 and 9,464.31 is: 13,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.15 : 14,398.83 = 9,464.31 : x
  2. Step 2: Convert to fraction form
    10,461.15/14,398.83 = 9,464.31/x
  3. Step 3: Cross multiply
    10,461.15x = 14,398.83 × 9,464.31
  4. Step 4: Simplify right side
    10,461.15x = 136,274,990.76
  5. Step 5: Solve for x
    x = 136,274,990.76/10,461.15
  6. Step 6: Final answer
    x = 13,026.77

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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.