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Finding the Fourth Proportional to 9,097.90, 13,647.48 and 3,549.40

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Solution

The fourth proportional to 9,097.90, 13,647.48 and 3,549.40 is: 5,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.90 : 13,647.48 = 3,549.40 : x
  2. Step 2: Convert to fraction form
    9,097.90/13,647.48 = 3,549.40/x
  3. Step 3: Cross multiply
    9,097.90x = 13,647.48 × 3,549.40
  4. Step 4: Simplify right side
    9,097.90x = 48,440,365.51
  5. Step 5: Solve for x
    x = 48,440,365.51/9,097.90
  6. Step 6: Final answer
    x = 5,324.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.