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Finding the Fourth Proportional to 9,277.19, 12,802.62 and 5,085.44

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Solution

The fourth proportional to 9,277.19, 12,802.62 and 5,085.44 is: 7,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.19 : 12,802.62 = 5,085.44 : x
  2. Step 2: Convert to fraction form
    9,277.19/12,802.62 = 5,085.44/x
  3. Step 3: Cross multiply
    9,277.19x = 12,802.62 × 5,085.44
  4. Step 4: Simplify right side
    9,277.19x = 65,106,955.85
  5. Step 5: Solve for x
    x = 65,106,955.85/9,277.19
  6. Step 6: Final answer
    x = 7,017.96

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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.