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Finding the Fourth Proportional to 9,895.09, 13,655.22 and 5,419.13

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Solution

The fourth proportional to 9,895.09, 13,655.22 and 5,419.13 is: 7,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.09 : 13,655.22 = 5,419.13 : x
  2. Step 2: Convert to fraction form
    9,895.09/13,655.22 = 5,419.13/x
  3. Step 3: Cross multiply
    9,895.09x = 13,655.22 × 5,419.13
  4. Step 4: Simplify right side
    9,895.09x = 73,999,412.36
  5. Step 5: Solve for x
    x = 73,999,412.36/9,895.09
  6. Step 6: Final answer
    x = 7,478.40

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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.