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Finding the Fourth Proportional to 9,710.37, 13,401.35 and 5,935.75

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Solution

The fourth proportional to 9,710.37, 13,401.35 and 5,935.75 is: 8,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.37 : 13,401.35 = 5,935.75 : x
  2. Step 2: Convert to fraction form
    9,710.37/13,401.35 = 5,935.75/x
  3. Step 3: Cross multiply
    9,710.37x = 13,401.35 × 5,935.75
  4. Step 4: Simplify right side
    9,710.37x = 79,547,031.83
  5. Step 5: Solve for x
    x = 79,547,031.83/9,710.37
  6. Step 6: Final answer
    x = 8,191.96

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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.