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Finding the Fourth Proportional to 7,038.65, 9,713.26 and 3,852.01

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Solution

The fourth proportional to 7,038.65, 9,713.26 and 3,852.01 is: 5,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.65 : 9,713.26 = 3,852.01 : x
  2. Step 2: Convert to fraction form
    7,038.65/9,713.26 = 3,852.01/x
  3. Step 3: Cross multiply
    7,038.65x = 9,713.26 × 3,852.01
  4. Step 4: Simplify right side
    7,038.65x = 37,415,574.65
  5. Step 5: Solve for x
    x = 37,415,574.65/7,038.65
  6. Step 6: Final answer
    x = 5,315.73

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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.