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Finding the Fourth Proportional to 9,670.48, 14,513.94 and 3,831.16

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Solution

The fourth proportional to 9,670.48, 14,513.94 and 3,831.16 is: 5,750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.48 : 14,513.94 = 3,831.16 : x
  2. Step 2: Convert to fraction form
    9,670.48/14,513.94 = 3,831.16/x
  3. Step 3: Cross multiply
    9,670.48x = 14,513.94 × 3,831.16
  4. Step 4: Simplify right side
    9,670.48x = 55,605,226.37
  5. Step 5: Solve for x
    x = 55,605,226.37/9,670.48
  6. Step 6: Final answer
    x = 5,750.00

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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.