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Finding the Fourth Proportional to 7,030.49, 9,700.47 and 4,197.32

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Solution

The fourth proportional to 7,030.49, 9,700.47 and 4,197.32 is: 5,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.49 : 9,700.47 = 4,197.32 : x
  2. Step 2: Convert to fraction form
    7,030.49/9,700.47 = 4,197.32/x
  3. Step 3: Cross multiply
    7,030.49x = 9,700.47 × 4,197.32
  4. Step 4: Simplify right side
    7,030.49x = 40,715,928.24
  5. Step 5: Solve for x
    x = 40,715,928.24/7,030.49
  6. Step 6: Final answer
    x = 5,791.33

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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.