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Finding the Fourth Proportional to 10,356.72, 14,294.64 and 6,765.36

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Solution

The fourth proportional to 10,356.72, 14,294.64 and 6,765.36 is: 9,337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.72 : 14,294.64 = 6,765.36 : x
  2. Step 2: Convert to fraction form
    10,356.72/14,294.64 = 6,765.36/x
  3. Step 3: Cross multiply
    10,356.72x = 14,294.64 × 6,765.36
  4. Step 4: Simplify right side
    10,356.72x = 96,708,385.67
  5. Step 5: Solve for x
    x = 96,708,385.67/10,356.72
  6. Step 6: Final answer
    x = 9,337.74

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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.