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Finding the Fourth Proportional to 9,702.04, 14,552.22 and 6,004.84

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Solution

The fourth proportional to 9,702.04, 14,552.22 and 6,004.84 is: 9,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.04 : 14,552.22 = 6,004.84 : x
  2. Step 2: Convert to fraction form
    9,702.04/14,552.22 = 6,004.84/x
  3. Step 3: Cross multiply
    9,702.04x = 14,552.22 × 6,004.84
  4. Step 4: Simplify right side
    9,702.04x = 87,383,752.74
  5. Step 5: Solve for x
    x = 87,383,752.74/9,702.04
  6. Step 6: Final answer
    x = 9,006.74

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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.