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Finding the Fourth Proportional to 9,554.81, 13,184.92 and 5,362.25

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Solution

The fourth proportional to 9,554.81, 13,184.92 and 5,362.25 is: 7,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.81 : 13,184.92 = 5,362.25 : x
  2. Step 2: Convert to fraction form
    9,554.81/13,184.92 = 5,362.25/x
  3. Step 3: Cross multiply
    9,554.81x = 13,184.92 × 5,362.25
  4. Step 4: Simplify right side
    9,554.81x = 70,700,810.46
  5. Step 5: Solve for x
    x = 70,700,810.46/9,554.81
  6. Step 6: Final answer
    x = 7,399.50

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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.