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Finding the Fourth Proportional to 10,464.15, 14,402.97 and 9,467.31

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Solution

The fourth proportional to 10,464.15, 14,402.97 and 9,467.31 is: 13,030.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.15 : 14,402.97 = 9,467.31 : x
  2. Step 2: Convert to fraction form
    10,464.15/14,402.97 = 9,467.31/x
  3. Step 3: Cross multiply
    10,464.15x = 14,402.97 × 9,467.31
  4. Step 4: Simplify right side
    10,464.15x = 136,357,381.91
  5. Step 5: Solve for x
    x = 136,357,381.91/10,464.15
  6. Step 6: Final answer
    x = 13,030.91

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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.