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Finding the Fourth Proportional to 9,702.18, 13,394.10 and 6,532.14

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Solution

The fourth proportional to 9,702.18, 13,394.10 and 6,532.14 is: 9,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.18 : 13,394.10 = 6,532.14 : x
  2. Step 2: Convert to fraction form
    9,702.18/13,394.10 = 6,532.14/x
  3. Step 3: Cross multiply
    9,702.18x = 13,394.10 × 6,532.14
  4. Step 4: Simplify right side
    9,702.18x = 87,492,136.37
  5. Step 5: Solve for x
    x = 87,492,136.37/9,702.18
  6. Step 6: Final answer
    x = 9,017.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.