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Finding the Fourth Proportional to 9,817.72, 13,548.28 and 5,341.32

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Solution

The fourth proportional to 9,817.72, 13,548.28 and 5,341.32 is: 7,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.72 : 13,548.28 = 5,341.32 : x
  2. Step 2: Convert to fraction form
    9,817.72/13,548.28 = 5,341.32/x
  3. Step 3: Cross multiply
    9,817.72x = 13,548.28 × 5,341.32
  4. Step 4: Simplify right side
    9,817.72x = 72,365,698.93
  5. Step 5: Solve for x
    x = 72,365,698.93/9,817.72
  6. Step 6: Final answer
    x = 7,370.93

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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.