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Finding the Fourth Proportional to 9,258, 12,760.50 and 7,019.16

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Solution

The fourth proportional to 9,258, 12,760.50 and 7,019.16 is: 9,674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258 : 12,760.50 = 7,019.16 : x
  2. Step 2: Convert to fraction form
    9,258/12,760.50 = 7,019.16/x
  3. Step 3: Cross multiply
    9,258x = 12,760.50 × 7,019.16
  4. Step 4: Simplify right side
    9,258x = 89,567,991.18
  5. Step 5: Solve for x
    x = 89,567,991.18/9,258
  6. Step 6: Final answer
    x = 9,674.66

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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.