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Finding the Fourth Proportional to 9,767.75, 13,478.51 and 5,460.03

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Solution

The fourth proportional to 9,767.75, 13,478.51 and 5,460.03 is: 7,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.75 : 13,478.51 = 5,460.03 : x
  2. Step 2: Convert to fraction form
    9,767.75/13,478.51 = 5,460.03/x
  3. Step 3: Cross multiply
    9,767.75x = 13,478.51 × 5,460.03
  4. Step 4: Simplify right side
    9,767.75x = 73,593,041.66
  5. Step 5: Solve for x
    x = 73,593,041.66/9,767.75
  6. Step 6: Final answer
    x = 7,534.29

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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.