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Finding the Fourth Proportional to 10,316.28, 15,478.74 and 9,499.32

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Solution

The fourth proportional to 10,316.28, 15,478.74 and 9,499.32 is: 14,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.28 : 15,478.74 = 9,499.32 : x
  2. Step 2: Convert to fraction form
    10,316.28/15,478.74 = 9,499.32/x
  3. Step 3: Cross multiply
    10,316.28x = 15,478.74 × 9,499.32
  4. Step 4: Simplify right side
    10,316.28x = 147,037,504.46
  5. Step 5: Solve for x
    x = 147,037,504.46/10,316.28
  6. Step 6: Final answer
    x = 14,252.96

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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.