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Finding the Fourth Proportional to 9,895.79, 13,656.13 and 5,419.46

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Solution

The fourth proportional to 9,895.79, 13,656.13 and 5,419.46 is: 7,478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.79 : 13,656.13 = 5,419.46 : x
  2. Step 2: Convert to fraction form
    9,895.79/13,656.13 = 5,419.46/x
  3. Step 3: Cross multiply
    9,895.79x = 13,656.13 × 5,419.46
  4. Step 4: Simplify right side
    9,895.79x = 74,008,850.29
  5. Step 5: Solve for x
    x = 74,008,850.29/9,895.79
  6. Step 6: Final answer
    x = 7,478.82

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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.