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Finding the Fourth Proportional to 9,604.94, 13,256.46 and 5,831.28

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Solution

The fourth proportional to 9,604.94, 13,256.46 and 5,831.28 is: 8,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.94 : 13,256.46 = 5,831.28 : x
  2. Step 2: Convert to fraction form
    9,604.94/13,256.46 = 5,831.28/x
  3. Step 3: Cross multiply
    9,604.94x = 13,256.46 × 5,831.28
  4. Step 4: Simplify right side
    9,604.94x = 77,302,130.07
  5. Step 5: Solve for x
    x = 77,302,130.07/9,604.94
  6. Step 6: Final answer
    x = 8,048.17

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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.