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Finding the Fourth Proportional to 9,817.76, 13,548.54 and 5,341.47

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Solution

The fourth proportional to 9,817.76, 13,548.54 and 5,341.47 is: 7,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.76 : 13,548.54 = 5,341.47 : x
  2. Step 2: Convert to fraction form
    9,817.76/13,548.54 = 5,341.47/x
  3. Step 3: Cross multiply
    9,817.76x = 13,548.54 × 5,341.47
  4. Step 4: Simplify right side
    9,817.76x = 72,369,112.26
  5. Step 5: Solve for x
    x = 72,369,112.26/9,817.76
  6. Step 6: Final answer
    x = 7,371.25

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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.