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Finding the Fourth Proportional to 9,895.41, 13,655.82 and 5,419.08

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Solution

The fourth proportional to 9,895.41, 13,655.82 and 5,419.08 is: 7,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.41 : 13,655.82 = 5,419.08 : x
  2. Step 2: Convert to fraction form
    9,895.41/13,655.82 = 5,419.08/x
  3. Step 3: Cross multiply
    9,895.41x = 13,655.82 × 5,419.08
  4. Step 4: Simplify right side
    9,895.41x = 74,001,981.05
  5. Step 5: Solve for x
    x = 74,001,981.05/9,895.41
  6. Step 6: Final answer
    x = 7,478.41

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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.