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Finding the Fourth Proportional to 7,013.43, 9,678.82 and 4,030.20

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Solution

The fourth proportional to 7,013.43, 9,678.82 and 4,030.20 is: 5,561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.43 : 9,678.82 = 4,030.20 : x
  2. Step 2: Convert to fraction form
    7,013.43/9,678.82 = 4,030.20/x
  3. Step 3: Cross multiply
    7,013.43x = 9,678.82 × 4,030.20
  4. Step 4: Simplify right side
    7,013.43x = 39,007,570.29
  5. Step 5: Solve for x
    x = 39,007,570.29/7,013.43
  6. Step 6: Final answer
    x = 5,561.84

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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.