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Finding the Fourth Proportional to 9,817.60, 14,702.10 and 6,302.20

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Solution

The fourth proportional to 9,817.60, 14,702.10 and 6,302.20 is: 9,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.60 : 14,702.10 = 6,302.20 : x
  2. Step 2: Convert to fraction form
    9,817.60/14,702.10 = 6,302.20/x
  3. Step 3: Cross multiply
    9,817.60x = 14,702.10 × 6,302.20
  4. Step 4: Simplify right side
    9,817.60x = 92,655,574.62
  5. Step 5: Solve for x
    x = 92,655,574.62/9,817.60
  6. Step 6: Final answer
    x = 9,437.70

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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.