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Finding the Fourth Proportional to 10,341.44, 14,276.14 and 6,365.96

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Solution

The fourth proportional to 10,341.44, 14,276.14 and 6,365.96 is: 8,788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.44 : 14,276.14 = 6,365.96 : x
  2. Step 2: Convert to fraction form
    10,341.44/14,276.14 = 6,365.96/x
  3. Step 3: Cross multiply
    10,341.44x = 14,276.14 × 6,365.96
  4. Step 4: Simplify right side
    10,341.44x = 90,881,248.90
  5. Step 5: Solve for x
    x = 90,881,248.90/10,341.44
  6. Step 6: Final answer
    x = 8,788.07

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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.