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Finding the Fourth Proportional to 9,702.48, 14,554.44 and 3,133.38

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Solution

The fourth proportional to 9,702.48, 14,554.44 and 3,133.38 is: 4,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.48 : 14,554.44 = 3,133.38 : x
  2. Step 2: Convert to fraction form
    9,702.48/14,554.44 = 3,133.38/x
  3. Step 3: Cross multiply
    9,702.48x = 14,554.44 × 3,133.38
  4. Step 4: Simplify right side
    9,702.48x = 45,604,591.21
  5. Step 5: Solve for x
    x = 45,604,591.21/9,702.48
  6. Step 6: Final answer
    x = 4,700.30

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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.