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Finding the Fourth Proportional to 9,675.99, 14,433.66 and 9,352.06

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Solution

The fourth proportional to 9,675.99, 14,433.66 and 9,352.06 is: 13,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.99 : 14,433.66 = 9,352.06 : x
  2. Step 2: Convert to fraction form
    9,675.99/14,433.66 = 9,352.06/x
  3. Step 3: Cross multiply
    9,675.99x = 14,433.66 × 9,352.06
  4. Step 4: Simplify right side
    9,675.99x = 134,984,418.26
  5. Step 5: Solve for x
    x = 134,984,418.26/9,675.99
  6. Step 6: Final answer
    x = 13,950.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.