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Finding the Fourth Proportional to 10,538.42, 15,789.13 and 9,394.43

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Solution

The fourth proportional to 10,538.42, 15,789.13 and 9,394.43 is: 14,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.42 : 15,789.13 = 9,394.43 : x
  2. Step 2: Convert to fraction form
    10,538.42/15,789.13 = 9,394.43/x
  3. Step 3: Cross multiply
    10,538.42x = 15,789.13 × 9,394.43
  4. Step 4: Simplify right side
    10,538.42x = 148,329,774.11
  5. Step 5: Solve for x
    x = 148,329,774.11/10,538.42
  6. Step 6: Final answer
    x = 14,075.15

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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.