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Finding the Fourth Proportional to 9,281.58, 13,897.26 and 6,797.58

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Solution

The fourth proportional to 9,281.58, 13,897.26 and 6,797.58 is: 10,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.58 : 13,897.26 = 6,797.58 : x
  2. Step 2: Convert to fraction form
    9,281.58/13,897.26 = 6,797.58/x
  3. Step 3: Cross multiply
    9,281.58x = 13,897.26 × 6,797.58
  4. Step 4: Simplify right side
    9,281.58x = 94,467,736.63
  5. Step 5: Solve for x
    x = 94,467,736.63/9,281.58
  6. Step 6: Final answer
    x = 10,177.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.