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Finding the Fourth Proportional to 9,675.61, 14,530.41 and 9,537.10

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Solution

The fourth proportional to 9,675.61, 14,530.41 and 9,537.10 is: 14,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.61 : 14,530.41 = 9,537.10 : x
  2. Step 2: Convert to fraction form
    9,675.61/14,530.41 = 9,537.10/x
  3. Step 3: Cross multiply
    9,675.61x = 14,530.41 × 9,537.10
  4. Step 4: Simplify right side
    9,675.61x = 138,577,936.88
  5. Step 5: Solve for x
    x = 138,577,936.88/9,675.61
  6. Step 6: Final answer
    x = 14,322.40

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Why These Related Problems?

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