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Finding the Fourth Proportional to 9,312.16, 12,851.04 and 5,120.80

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Solution

The fourth proportional to 9,312.16, 12,851.04 and 5,120.80 is: 7,066.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.16 : 12,851.04 = 5,120.80 : x
  2. Step 2: Convert to fraction form
    9,312.16/12,851.04 = 5,120.80/x
  3. Step 3: Cross multiply
    9,312.16x = 12,851.04 × 5,120.80
  4. Step 4: Simplify right side
    9,312.16x = 65,807,605.63
  5. Step 5: Solve for x
    x = 65,807,605.63/9,312.16
  6. Step 6: Final answer
    x = 7,066.85

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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.