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Finding the Fourth Proportional to 9,702.55, 14,549.22 and 4,436.00

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Solution

The fourth proportional to 9,702.55, 14,549.22 and 4,436.00 is: 6,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.55 : 14,549.22 = 4,436.00 : x
  2. Step 2: Convert to fraction form
    9,702.55/14,549.22 = 4,436.00/x
  3. Step 3: Cross multiply
    9,702.55x = 14,549.22 × 4,436.00
  4. Step 4: Simplify right side
    9,702.55x = 64,540,321.73
  5. Step 5: Solve for x
    x = 64,540,321.73/9,702.55
  6. Step 6: Final answer
    x = 6,651.89

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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.