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Finding the Fourth Proportional to 9,960.34, 13,756.64 and 6,768.30

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Solution

The fourth proportional to 9,960.34, 13,756.64 and 6,768.30 is: 9,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.34 : 13,756.64 = 6,768.30 : x
  2. Step 2: Convert to fraction form
    9,960.34/13,756.64 = 6,768.30/x
  3. Step 3: Cross multiply
    9,960.34x = 13,756.64 × 6,768.30
  4. Step 4: Simplify right side
    9,960.34x = 93,109,032.67
  5. Step 5: Solve for x
    x = 93,109,032.67/9,960.34
  6. Step 6: Final answer
    x = 9,347.98

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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.