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Finding the Fourth Proportional to 9,804.35, 14,702.62 and 3,560.95

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Solution

The fourth proportional to 9,804.35, 14,702.62 and 3,560.95 is: 5,340.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.35 : 14,702.62 = 3,560.95 : x
  2. Step 2: Convert to fraction form
    9,804.35/14,702.62 = 3,560.95/x
  3. Step 3: Cross multiply
    9,804.35x = 14,702.62 × 3,560.95
  4. Step 4: Simplify right side
    9,804.35x = 52,355,294.69
  5. Step 5: Solve for x
    x = 52,355,294.69/9,804.35
  6. Step 6: Final answer
    x = 5,340.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.