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Finding the Fourth Proportional to 10,447.68, 14,414.05 and 6,195.45

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Solution

The fourth proportional to 10,447.68, 14,414.05 and 6,195.45 is: 8,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.68 : 14,414.05 = 6,195.45 : x
  2. Step 2: Convert to fraction form
    10,447.68/14,414.05 = 6,195.45/x
  3. Step 3: Cross multiply
    10,447.68x = 14,414.05 × 6,195.45
  4. Step 4: Simplify right side
    10,447.68x = 89,301,526.07
  5. Step 5: Solve for x
    x = 89,301,526.07/10,447.68
  6. Step 6: Final answer
    x = 8,547.50

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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.