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Finding the Fourth Proportional to 9,312.51, 12,850.88 and 5,120.49

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Solution

The fourth proportional to 9,312.51, 12,850.88 and 5,120.49 is: 7,066.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.51 : 12,850.88 = 5,120.49 : x
  2. Step 2: Convert to fraction form
    9,312.51/12,850.88 = 5,120.49/x
  3. Step 3: Cross multiply
    9,312.51x = 12,850.88 × 5,120.49
  4. Step 4: Simplify right side
    9,312.51x = 65,802,776.93
  5. Step 5: Solve for x
    x = 65,802,776.93/9,312.51
  6. Step 6: Final answer
    x = 7,066.06

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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.