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Finding the Fourth Proportional to 9,460.55, 14,147.75 and 7,090.16

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Solution

The fourth proportional to 9,460.55, 14,147.75 and 7,090.16 is: 10,602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.55 : 14,147.75 = 7,090.16 : x
  2. Step 2: Convert to fraction form
    9,460.55/14,147.75 = 7,090.16/x
  3. Step 3: Cross multiply
    9,460.55x = 14,147.75 × 7,090.16
  4. Step 4: Simplify right side
    9,460.55x = 100,309,758.13
  5. Step 5: Solve for x
    x = 100,309,758.13/9,460.55
  6. Step 6: Final answer
    x = 10,602.95

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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.