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Finding the Fourth Proportional to 10,346.70, 14,276.34 and 9,991.11

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Solution

The fourth proportional to 10,346.70, 14,276.34 and 9,991.11 is: 13,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.70 : 14,276.34 = 9,991.11 : x
  2. Step 2: Convert to fraction form
    10,346.70/14,276.34 = 9,991.11/x
  3. Step 3: Cross multiply
    10,346.70x = 14,276.34 × 9,991.11
  4. Step 4: Simplify right side
    10,346.70x = 142,636,483.34
  5. Step 5: Solve for x
    x = 142,636,483.34/10,346.70
  6. Step 6: Final answer
    x = 13,785.70

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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.