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Finding the Fourth Proportional to 9,702.60, 13,385.70 and 6,116.38

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Solution

The fourth proportional to 9,702.60, 13,385.70 and 6,116.38 is: 8,438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.60 : 13,385.70 = 6,116.38 : x
  2. Step 2: Convert to fraction form
    9,702.60/13,385.70 = 6,116.38/x
  3. Step 3: Cross multiply
    9,702.60x = 13,385.70 × 6,116.38
  4. Step 4: Simplify right side
    9,702.60x = 81,871,994.30
  5. Step 5: Solve for x
    x = 81,871,994.30/9,702.60
  6. Step 6: Final answer
    x = 8,438.15

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Why These Related Problems?

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