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Finding the Fourth Proportional to 9,556.88, 14,307.50 and 7,102.58

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Solution

The fourth proportional to 9,556.88, 14,307.50 and 7,102.58 is: 10,633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.88 : 14,307.50 = 7,102.58 : x
  2. Step 2: Convert to fraction form
    9,556.88/14,307.50 = 7,102.58/x
  3. Step 3: Cross multiply
    9,556.88x = 14,307.50 × 7,102.58
  4. Step 4: Simplify right side
    9,556.88x = 101,620,109.57
  5. Step 5: Solve for x
    x = 101,620,109.57/9,556.88
  6. Step 6: Final answer
    x = 10,633.19

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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.