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Finding the Fourth Proportional to 7,029.98, 9,700.50 and 3,886.16

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Solution

The fourth proportional to 7,029.98, 9,700.50 and 3,886.16 is: 5,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.98 : 9,700.50 = 3,886.16 : x
  2. Step 2: Convert to fraction form
    7,029.98/9,700.50 = 3,886.16/x
  3. Step 3: Cross multiply
    7,029.98x = 9,700.50 × 3,886.16
  4. Step 4: Simplify right side
    7,029.98x = 37,697,646.58
  5. Step 5: Solve for x
    x = 37,697,646.58/7,029.98
  6. Step 6: Final answer
    x = 5,362.42

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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.