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Finding the Fourth Proportional to 9,825.51, 14,709.31 and 6,487.64

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Solution

The fourth proportional to 9,825.51, 14,709.31 and 6,487.64 is: 9,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.51 : 14,709.31 = 6,487.64 : x
  2. Step 2: Convert to fraction form
    9,825.51/14,709.31 = 6,487.64/x
  3. Step 3: Cross multiply
    9,825.51x = 14,709.31 × 6,487.64
  4. Step 4: Simplify right side
    9,825.51x = 95,428,707.93
  5. Step 5: Solve for x
    x = 95,428,707.93/9,825.51
  6. Step 6: Final answer
    x = 9,712.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.