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Finding the Fourth Proportional to 9,307.47, 13,936.31 and 7,831.25

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Solution

The fourth proportional to 9,307.47, 13,936.31 and 7,831.25 is: 11,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,307.47 : 13,936.31 = 7,831.25 : x
  2. Step 2: Convert to fraction form
    9,307.47/13,936.31 = 7,831.25/x
  3. Step 3: Cross multiply
    9,307.47x = 13,936.31 × 7,831.25
  4. Step 4: Simplify right side
    9,307.47x = 109,138,618.85
  5. Step 5: Solve for x
    x = 109,138,618.85/9,307.47
  6. Step 6: Final answer
    x = 11,725.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.