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Finding the Fourth Proportional to 9,549.46, 13,178 and 5,300.51

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Solution

The fourth proportional to 9,549.46, 13,178 and 5,300.51 is: 7,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.46 : 13,178 = 5,300.51 : x
  2. Step 2: Convert to fraction form
    9,549.46/13,178 = 5,300.51/x
  3. Step 3: Cross multiply
    9,549.46x = 13,178 × 5,300.51
  4. Step 4: Simplify right side
    9,549.46x = 69,850,087.84
  5. Step 5: Solve for x
    x = 69,850,087.84/9,549.46
  6. Step 6: Final answer
    x = 7,314.56

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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.