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Finding the Fourth Proportional to 9,907.38, 13,672.53 and 5,431.14

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Solution

The fourth proportional to 9,907.38, 13,672.53 and 5,431.14 is: 7,495.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.38 : 13,672.53 = 5,431.14 : x
  2. Step 2: Convert to fraction form
    9,907.38/13,672.53 = 5,431.14/x
  3. Step 3: Cross multiply
    9,907.38x = 13,672.53 × 5,431.14
  4. Step 4: Simplify right side
    9,907.38x = 74,257,424.58
  5. Step 5: Solve for x
    x = 74,257,424.58/9,907.38
  6. Step 6: Final answer
    x = 7,495.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.