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Finding the Fourth Proportional to 9,384.30, 14,091.30 and 8,702.10

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Solution

The fourth proportional to 9,384.30, 14,091.30 and 8,702.10 is: 13,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.30 : 14,091.30 = 8,702.10 : x
  2. Step 2: Convert to fraction form
    9,384.30/14,091.30 = 8,702.10/x
  3. Step 3: Cross multiply
    9,384.30x = 14,091.30 × 8,702.10
  4. Step 4: Simplify right side
    9,384.30x = 122,623,901.73
  5. Step 5: Solve for x
    x = 122,623,901.73/9,384.30
  6. Step 6: Final answer
    x = 13,066.92

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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.