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Finding the Fourth Proportional to 10,385.79, 14,348.07 and 6,809.28

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Solution

The fourth proportional to 10,385.79, 14,348.07 and 6,809.28 is: 9,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.79 : 14,348.07 = 6,809.28 : x
  2. Step 2: Convert to fraction form
    10,385.79/14,348.07 = 6,809.28/x
  3. Step 3: Cross multiply
    10,385.79x = 14,348.07 × 6,809.28
  4. Step 4: Simplify right side
    10,385.79x = 97,700,026.09
  5. Step 5: Solve for x
    x = 97,700,026.09/10,385.79
  6. Step 6: Final answer
    x = 9,407.09

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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.