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Finding the Fourth Proportional to 9,570.88, 14,364.98 and 4,028.32

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Solution

The fourth proportional to 9,570.88, 14,364.98 and 4,028.32 is: 6,046.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.88 : 14,364.98 = 4,028.32 : x
  2. Step 2: Convert to fraction form
    9,570.88/14,364.98 = 4,028.32/x
  3. Step 3: Cross multiply
    9,570.88x = 14,364.98 × 4,028.32
  4. Step 4: Simplify right side
    9,570.88x = 57,866,736.23
  5. Step 5: Solve for x
    x = 57,866,736.23/9,570.88
  6. Step 6: Final answer
    x = 6,046.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.