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Finding the Fourth Proportional to 9,702.59, 14,556.51 and 4,440.96

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Solution

The fourth proportional to 9,702.59, 14,556.51 and 4,440.96 is: 6,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.59 : 14,556.51 = 4,440.96 : x
  2. Step 2: Convert to fraction form
    9,702.59/14,556.51 = 4,440.96/x
  3. Step 3: Cross multiply
    9,702.59x = 14,556.51 × 4,440.96
  4. Step 4: Simplify right side
    9,702.59x = 64,644,878.65
  5. Step 5: Solve for x
    x = 64,644,878.65/9,702.59
  6. Step 6: Final answer
    x = 6,662.64

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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.