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Finding the Fourth Proportional to 9,907.80, 14,861.70 and 9,259.80

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Solution

The fourth proportional to 9,907.80, 14,861.70 and 9,259.80 is: 13,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.80 : 14,861.70 = 9,259.80 : x
  2. Step 2: Convert to fraction form
    9,907.80/14,861.70 = 9,259.80/x
  3. Step 3: Cross multiply
    9,907.80x = 14,861.70 × 9,259.80
  4. Step 4: Simplify right side
    9,907.80x = 137,616,369.66
  5. Step 5: Solve for x
    x = 137,616,369.66/9,907.80
  6. Step 6: Final answer
    x = 13,889.70

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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.