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Finding the Fourth Proportional to 9,592.90, 13,237.23 and 7,076.38

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Solution

The fourth proportional to 9,592.90, 13,237.23 and 7,076.38 is: 9,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.90 : 13,237.23 = 7,076.38 : x
  2. Step 2: Convert to fraction form
    9,592.90/13,237.23 = 7,076.38/x
  3. Step 3: Cross multiply
    9,592.90x = 13,237.23 × 7,076.38
  4. Step 4: Simplify right side
    9,592.90x = 93,671,669.63
  5. Step 5: Solve for x
    x = 93,671,669.63/9,592.90
  6. Step 6: Final answer
    x = 9,764.69

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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.