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Finding the Fourth Proportional to 9,900.06, 13,647.64 and 7,538.10

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Solution

The fourth proportional to 9,900.06, 13,647.64 and 7,538.10 is: 10,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.06 : 13,647.64 = 7,538.10 : x
  2. Step 2: Convert to fraction form
    9,900.06/13,647.64 = 7,538.10/x
  3. Step 3: Cross multiply
    9,900.06x = 13,647.64 × 7,538.10
  4. Step 4: Simplify right side
    9,900.06x = 102,877,275.08
  5. Step 5: Solve for x
    x = 102,877,275.08/9,900.06
  6. Step 6: Final answer
    x = 10,391.58

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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.