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Finding the Fourth Proportional to 9,615.89, 14,426.16 and 4,684.40

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Solution

The fourth proportional to 9,615.89, 14,426.16 and 4,684.40 is: 7,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.89 : 14,426.16 = 4,684.40 : x
  2. Step 2: Convert to fraction form
    9,615.89/14,426.16 = 4,684.40/x
  3. Step 3: Cross multiply
    9,615.89x = 14,426.16 × 4,684.40
  4. Step 4: Simplify right side
    9,615.89x = 67,577,831.77
  5. Step 5: Solve for x
    x = 67,577,831.77/9,615.89
  6. Step 6: Final answer
    x = 7,027.73

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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.