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Finding the Fourth Proportional to 10,375.14, 15,618.06 and 9,303.50

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Solution

The fourth proportional to 10,375.14, 15,618.06 and 9,303.50 is: 14,004.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.14 : 15,618.06 = 9,303.50 : x
  2. Step 2: Convert to fraction form
    10,375.14/15,618.06 = 9,303.50/x
  3. Step 3: Cross multiply
    10,375.14x = 15,618.06 × 9,303.50
  4. Step 4: Simplify right side
    10,375.14x = 145,302,621.21
  5. Step 5: Solve for x
    x = 145,302,621.21/10,375.14
  6. Step 6: Final answer
    x = 14,004.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.