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Finding the Fourth Proportional to 9,497.84, 13,107.85 and 6,305.50

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Solution

The fourth proportional to 9,497.84, 13,107.85 and 6,305.50 is: 8,702.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.84 : 13,107.85 = 6,305.50 : x
  2. Step 2: Convert to fraction form
    9,497.84/13,107.85 = 6,305.50/x
  3. Step 3: Cross multiply
    9,497.84x = 13,107.85 × 6,305.50
  4. Step 4: Simplify right side
    9,497.84x = 82,651,482.64
  5. Step 5: Solve for x
    x = 82,651,482.64/9,497.84
  6. Step 6: Final answer
    x = 8,702.13

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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.