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Finding the Fourth Proportional to 10,346.91, 14,285.88 and 9,685.95

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Solution

The fourth proportional to 10,346.91, 14,285.88 and 9,685.95 is: 13,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.91 : 14,285.88 = 9,685.95 : x
  2. Step 2: Convert to fraction form
    10,346.91/14,285.88 = 9,685.95/x
  3. Step 3: Cross multiply
    10,346.91x = 14,285.88 × 9,685.95
  4. Step 4: Simplify right side
    10,346.91x = 138,372,319.39
  5. Step 5: Solve for x
    x = 138,372,319.39/10,346.91
  6. Step 6: Final answer
    x = 13,373.30

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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.