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Finding the Fourth Proportional to 9,852.68, 14,784.78 and 5,957.48

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Solution

The fourth proportional to 9,852.68, 14,784.78 and 5,957.48 is: 8,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.68 : 14,784.78 = 5,957.48 : x
  2. Step 2: Convert to fraction form
    9,852.68/14,784.78 = 5,957.48/x
  3. Step 3: Cross multiply
    9,852.68x = 14,784.78 × 5,957.48
  4. Step 4: Simplify right side
    9,852.68x = 88,080,031.15
  5. Step 5: Solve for x
    x = 88,080,031.15/9,852.68
  6. Step 6: Final answer
    x = 8,939.70

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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.