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Finding the Fourth Proportional to 9,760.25, 13,474.95 and 6,408.93

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Solution

The fourth proportional to 9,760.25, 13,474.95 and 6,408.93 is: 8,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.25 : 13,474.95 = 6,408.93 : x
  2. Step 2: Convert to fraction form
    9,760.25/13,474.95 = 6,408.93/x
  3. Step 3: Cross multiply
    9,760.25x = 13,474.95 × 6,408.93
  4. Step 4: Simplify right side
    9,760.25x = 86,360,011.30
  5. Step 5: Solve for x
    x = 86,360,011.30/9,760.25
  6. Step 6: Final answer
    x = 8,848.14

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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.