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Finding the Fourth Proportional to 7,117.21, 9,818.94 and 4,463.65

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Solution

The fourth proportional to 7,117.21, 9,818.94 and 4,463.65 is: 6,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.21 : 9,818.94 = 4,463.65 : x
  2. Step 2: Convert to fraction form
    7,117.21/9,818.94 = 4,463.65/x
  3. Step 3: Cross multiply
    7,117.21x = 9,818.94 × 4,463.65
  4. Step 4: Simplify right side
    7,117.21x = 43,828,240.12
  5. Step 5: Solve for x
    x = 43,828,240.12/7,117.21
  6. Step 6: Final answer
    x = 6,158.07

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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.