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Finding the Fourth Proportional to 10,099.88, 15,093.52 and 9,538.28

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Solution

The fourth proportional to 10,099.88, 15,093.52 and 9,538.28 is: 14,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.88 : 15,093.52 = 9,538.28 : x
  2. Step 2: Convert to fraction form
    10,099.88/15,093.52 = 9,538.28/x
  3. Step 3: Cross multiply
    10,099.88x = 15,093.52 × 9,538.28
  4. Step 4: Simplify right side
    10,099.88x = 143,966,219.95
  5. Step 5: Solve for x
    x = 143,966,219.95/10,099.88
  6. Step 6: Final answer
    x = 14,254.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.