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Finding the Fourth Proportional to 9,894.90, 13,655.32 and 5,418.84

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Solution

The fourth proportional to 9,894.90, 13,655.32 and 5,418.84 is: 7,478.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.90 : 13,655.32 = 5,418.84 : x
  2. Step 2: Convert to fraction form
    9,894.90/13,655.32 = 5,418.84/x
  3. Step 3: Cross multiply
    9,894.90x = 13,655.32 × 5,418.84
  4. Step 4: Simplify right side
    9,894.90x = 73,995,994.23
  5. Step 5: Solve for x
    x = 73,995,994.23/9,894.90
  6. Step 6: Final answer
    x = 7,478.20

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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.