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Finding the Fourth Proportional to 7,038.66, 9,712.89 and 4,206.15

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Solution

The fourth proportional to 7,038.66, 9,712.89 and 4,206.15 is: 5,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.66 : 9,712.89 = 4,206.15 : x
  2. Step 2: Convert to fraction form
    7,038.66/9,712.89 = 4,206.15/x
  3. Step 3: Cross multiply
    7,038.66x = 9,712.89 × 4,206.15
  4. Step 4: Simplify right side
    7,038.66x = 40,853,872.27
  5. Step 5: Solve for x
    x = 40,853,872.27/7,038.66
  6. Step 6: Final answer
    x = 5,804.21

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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.