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Finding the Fourth Proportional to 9,900.26, 13,646.09 and 7,907.30

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Solution

The fourth proportional to 9,900.26, 13,646.09 and 7,907.30 is: 10,899.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.26 : 13,646.09 = 7,907.30 : x
  2. Step 2: Convert to fraction form
    9,900.26/13,646.09 = 7,907.30/x
  3. Step 3: Cross multiply
    9,900.26x = 13,646.09 × 7,907.30
  4. Step 4: Simplify right side
    9,900.26x = 107,903,727.46
  5. Step 5: Solve for x
    x = 107,903,727.46/9,900.26
  6. Step 6: Final answer
    x = 10,899.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.