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Finding the Fourth Proportional to 9,714.64, 14,564.08 and 3,865.60

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Solution

The fourth proportional to 9,714.64, 14,564.08 and 3,865.60 is: 5,795.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.64 : 14,564.08 = 3,865.60 : x
  2. Step 2: Convert to fraction form
    9,714.64/14,564.08 = 3,865.60/x
  3. Step 3: Cross multiply
    9,714.64x = 14,564.08 × 3,865.60
  4. Step 4: Simplify right side
    9,714.64x = 56,298,907.65
  5. Step 5: Solve for x
    x = 56,298,907.65/9,714.64
  6. Step 6: Final answer
    x = 5,795.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.