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Finding the Fourth Proportional to 9,857.44, 13,603.76 and 6,030.56

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Solution

The fourth proportional to 9,857.44, 13,603.76 and 6,030.56 is: 8,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.44 : 13,603.76 = 6,030.56 : x
  2. Step 2: Convert to fraction form
    9,857.44/13,603.76 = 6,030.56/x
  3. Step 3: Cross multiply
    9,857.44x = 13,603.76 × 6,030.56
  4. Step 4: Simplify right side
    9,857.44x = 82,038,290.91
  5. Step 5: Solve for x
    x = 82,038,290.91/9,857.44
  6. Step 6: Final answer
    x = 8,322.47

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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.