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Finding the Fourth Proportional to 9,798.66, 14,702.85 and 6,099.93

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Solution

The fourth proportional to 9,798.66, 14,702.85 and 6,099.93 is: 9,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.66 : 14,702.85 = 6,099.93 : x
  2. Step 2: Convert to fraction form
    9,798.66/14,702.85 = 6,099.93/x
  3. Step 3: Cross multiply
    9,798.66x = 14,702.85 × 6,099.93
  4. Step 4: Simplify right side
    9,798.66x = 89,686,355.80
  5. Step 5: Solve for x
    x = 89,686,355.80/9,798.66
  6. Step 6: Final answer
    x = 9,152.92

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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.