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Finding the Fourth Proportional to 9,347.24, 12,900.12 and 6,985.28

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Solution

The fourth proportional to 9,347.24, 12,900.12 and 6,985.28 is: 9,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.24 : 12,900.12 = 6,985.28 : x
  2. Step 2: Convert to fraction form
    9,347.24/12,900.12 = 6,985.28/x
  3. Step 3: Cross multiply
    9,347.24x = 12,900.12 × 6,985.28
  4. Step 4: Simplify right side
    9,347.24x = 90,110,950.23
  5. Step 5: Solve for x
    x = 90,110,950.23/9,347.24
  6. Step 6: Final answer
    x = 9,640.38

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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.