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Finding the Fourth Proportional to 9,725.34, 13,420.18 and 5,475.05

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Solution

The fourth proportional to 9,725.34, 13,420.18 and 5,475.05 is: 7,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.34 : 13,420.18 = 5,475.05 : x
  2. Step 2: Convert to fraction form
    9,725.34/13,420.18 = 5,475.05/x
  3. Step 3: Cross multiply
    9,725.34x = 13,420.18 × 5,475.05
  4. Step 4: Simplify right side
    9,725.34x = 73,476,156.51
  5. Step 5: Solve for x
    x = 73,476,156.51/9,725.34
  6. Step 6: Final answer
    x = 7,555.12

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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.