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Finding the Fourth Proportional to 7,014.96, 9,677.61 and 4,030.11

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Solution

The fourth proportional to 7,014.96, 9,677.61 and 4,030.11 is: 5,559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014.96 : 9,677.61 = 4,030.11 : x
  2. Step 2: Convert to fraction form
    7,014.96/9,677.61 = 4,030.11/x
  3. Step 3: Cross multiply
    7,014.96x = 9,677.61 × 4,030.11
  4. Step 4: Simplify right side
    7,014.96x = 39,001,832.84
  5. Step 5: Solve for x
    x = 39,001,832.84/7,014.96
  6. Step 6: Final answer
    x = 5,559.81

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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.