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Finding the Fourth Proportional to 7,038.96, 9,714 and 4,206.24

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Solution

The fourth proportional to 7,038.96, 9,714 and 4,206.24 is: 5,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.96 : 9,714 = 4,206.24 : x
  2. Step 2: Convert to fraction form
    7,038.96/9,714 = 4,206.24/x
  3. Step 3: Cross multiply
    7,038.96x = 9,714 × 4,206.24
  4. Step 4: Simplify right side
    7,038.96x = 40,859,415.36
  5. Step 5: Solve for x
    x = 40,859,415.36/7,038.96
  6. Step 6: Final answer
    x = 5,804.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.