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Finding the Fourth Proportional to 9,277.36, 12,802.82 and 5,085.64

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Solution

The fourth proportional to 9,277.36, 12,802.82 and 5,085.64 is: 7,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.36 : 12,802.82 = 5,085.64 : x
  2. Step 2: Convert to fraction form
    9,277.36/12,802.82 = 5,085.64/x
  3. Step 3: Cross multiply
    9,277.36x = 12,802.82 × 5,085.64
  4. Step 4: Simplify right side
    9,277.36x = 65,110,533.50
  5. Step 5: Solve for x
    x = 65,110,533.50/9,277.36
  6. Step 6: Final answer
    x = 7,018.22

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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.