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Finding the Fourth Proportional to 9,473.96, 13,029.45 and 8,292.98

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Solution

The fourth proportional to 9,473.96, 13,029.45 and 8,292.98 is: 11,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.96 : 13,029.45 = 8,292.98 : x
  2. Step 2: Convert to fraction form
    9,473.96/13,029.45 = 8,292.98/x
  3. Step 3: Cross multiply
    9,473.96x = 13,029.45 × 8,292.98
  4. Step 4: Simplify right side
    9,473.96x = 108,052,968.26
  5. Step 5: Solve for x
    x = 108,052,968.26/9,473.96
  6. Step 6: Final answer
    x = 11,405.26

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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.