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Finding the Fourth Proportional to 9,276.82, 12,802.14 and 5,085.10

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Solution

The fourth proportional to 9,276.82, 12,802.14 and 5,085.10 is: 7,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.82 : 12,802.14 = 5,085.10 : x
  2. Step 2: Convert to fraction form
    9,276.82/12,802.14 = 5,085.10/x
  3. Step 3: Cross multiply
    9,276.82x = 12,802.14 × 5,085.10
  4. Step 4: Simplify right side
    9,276.82x = 65,100,162.11
  5. Step 5: Solve for x
    x = 65,100,162.11/9,276.82
  6. Step 6: Final answer
    x = 7,017.51

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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.