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Finding the Fourth Proportional to 9,708.35, 14,529.06 and 5,957.64

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Solution

The fourth proportional to 9,708.35, 14,529.06 and 5,957.64 is: 8,915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.35 : 14,529.06 = 5,957.64 : x
  2. Step 2: Convert to fraction form
    9,708.35/14,529.06 = 5,957.64/x
  3. Step 3: Cross multiply
    9,708.35x = 14,529.06 × 5,957.64
  4. Step 4: Simplify right side
    9,708.35x = 86,558,909.02
  5. Step 5: Solve for x
    x = 86,558,909.02/9,708.35
  6. Step 6: Final answer
    x = 8,915.93

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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.