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Finding the Fourth Proportional to 9,307.20, 13,960.80 and 7,897.80

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Solution

The fourth proportional to 9,307.20, 13,960.80 and 7,897.80 is: 11,846.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.20 : 13,960.80 = 7,897.80 : x
  2. Step 2: Convert to fraction form
    9,307.20/13,960.80 = 7,897.80/x
  3. Step 3: Cross multiply
    9,307.20x = 13,960.80 × 7,897.80
  4. Step 4: Simplify right side
    9,307.20x = 110,259,606.24
  5. Step 5: Solve for x
    x = 110,259,606.24/9,307.20
  6. Step 6: Final answer
    x = 11,846.70

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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.