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Finding the Fourth Proportional to 9,603.90, 14,336.46 and 8,882.46

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Solution

The fourth proportional to 9,603.90, 14,336.46 and 8,882.46 is: 13,259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.90 : 14,336.46 = 8,882.46 : x
  2. Step 2: Convert to fraction form
    9,603.90/14,336.46 = 8,882.46/x
  3. Step 3: Cross multiply
    9,603.90x = 14,336.46 × 8,882.46
  4. Step 4: Simplify right side
    9,603.90x = 127,343,032.49
  5. Step 5: Solve for x
    x = 127,343,032.49/9,603.90
  6. Step 6: Final answer
    x = 13,259.51

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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.