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Finding the Fourth Proportional to 7,014.66, 9,680.25 and 4,030.29

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Solution

The fourth proportional to 7,014.66, 9,680.25 and 4,030.29 is: 5,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.66 : 9,680.25 = 4,030.29 : x
  2. Step 2: Convert to fraction form
    7,014.66/9,680.25 = 4,030.29/x
  3. Step 3: Cross multiply
    7,014.66x = 9,680.25 × 4,030.29
  4. Step 4: Simplify right side
    7,014.66x = 39,014,214.77
  5. Step 5: Solve for x
    x = 39,014,214.77/7,014.66
  6. Step 6: Final answer
    x = 5,561.81

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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.