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Finding the Fourth Proportional to 9,417.70, 14,121 and 3,574.72

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Solution

The fourth proportional to 9,417.70, 14,121 and 3,574.72 is: 5,359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.70 : 14,121 = 3,574.72 : x
  2. Step 2: Convert to fraction form
    9,417.70/14,121 = 3,574.72/x
  3. Step 3: Cross multiply
    9,417.70x = 14,121 × 3,574.72
  4. Step 4: Simplify right side
    9,417.70x = 50,478,621.12
  5. Step 5: Solve for x
    x = 50,478,621.12/9,417.70
  6. Step 6: Final answer
    x = 5,359.97

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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.