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Finding the Fourth Proportional to 9,849.72, 13,602.06 and 8,444.28

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Solution

The fourth proportional to 9,849.72, 13,602.06 and 8,444.28 is: 11,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.72 : 13,602.06 = 8,444.28 : x
  2. Step 2: Convert to fraction form
    9,849.72/13,602.06 = 8,444.28/x
  3. Step 3: Cross multiply
    9,849.72x = 13,602.06 × 8,444.28
  4. Step 4: Simplify right side
    9,849.72x = 114,859,603.22
  5. Step 5: Solve for x
    x = 114,859,603.22/9,849.72
  6. Step 6: Final answer
    x = 11,661.20

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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.