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Finding the Fourth Proportional to 9,702.22, 13,394.13 and 6,532.18

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Solution

The fourth proportional to 9,702.22, 13,394.13 and 6,532.18 is: 9,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.22 : 13,394.13 = 6,532.18 : x
  2. Step 2: Convert to fraction form
    9,702.22/13,394.13 = 6,532.18/x
  3. Step 3: Cross multiply
    9,702.22x = 13,394.13 × 6,532.18
  4. Step 4: Simplify right side
    9,702.22x = 87,492,868.10
  5. Step 5: Solve for x
    x = 87,492,868.10/9,702.22
  6. Step 6: Final answer
    x = 9,017.82

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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.