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Finding the Fourth Proportional to 9,702.12, 14,549.94 and 3,128.16

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Solution

The fourth proportional to 9,702.12, 14,549.94 and 3,128.16 is: 4,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.12 : 14,549.94 = 3,128.16 : x
  2. Step 2: Convert to fraction form
    9,702.12/14,549.94 = 3,128.16/x
  3. Step 3: Cross multiply
    9,702.12x = 14,549.94 × 3,128.16
  4. Step 4: Simplify right side
    9,702.12x = 45,514,540.31
  5. Step 5: Solve for x
    x = 45,514,540.31/9,702.12
  6. Step 6: Final answer
    x = 4,691.20

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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.