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Finding the Fourth Proportional to 7,014.51, 9,680.04 and 3,870.63

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Solution

The fourth proportional to 7,014.51, 9,680.04 and 3,870.63 is: 5,341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.51 : 9,680.04 = 3,870.63 : x
  2. Step 2: Convert to fraction form
    7,014.51/9,680.04 = 3,870.63/x
  3. Step 3: Cross multiply
    7,014.51x = 9,680.04 × 3,870.63
  4. Step 4: Simplify right side
    7,014.51x = 37,467,853.23
  5. Step 5: Solve for x
    x = 37,467,853.23/7,014.51
  6. Step 6: Final answer
    x = 5,341.48

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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.