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Finding the Fourth Proportional to 9,458.10, 13,070.16 and 7,096.14

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Solution

The fourth proportional to 9,458.10, 13,070.16 and 7,096.14 is: 9,806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.10 : 13,070.16 = 7,096.14 : x
  2. Step 2: Convert to fraction form
    9,458.10/13,070.16 = 7,096.14/x
  3. Step 3: Cross multiply
    9,458.10x = 13,070.16 × 7,096.14
  4. Step 4: Simplify right side
    9,458.10x = 92,747,685.18
  5. Step 5: Solve for x
    x = 92,747,685.18/9,458.10
  6. Step 6: Final answer
    x = 9,806.16

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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.