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Finding the Fourth Proportional to 10,398.86, 14,340.50 and 6,808.46

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Solution

The fourth proportional to 10,398.86, 14,340.50 and 6,808.46 is: 9,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.86 : 14,340.50 = 6,808.46 : x
  2. Step 2: Convert to fraction form
    10,398.86/14,340.50 = 6,808.46/x
  3. Step 3: Cross multiply
    10,398.86x = 14,340.50 × 6,808.46
  4. Step 4: Simplify right side
    10,398.86x = 97,636,720.63
  5. Step 5: Solve for x
    x = 97,636,720.63/10,398.86
  6. Step 6: Final answer
    x = 9,389.18

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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.