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Finding the Fourth Proportional to 9,902.16, 14,829.80 and 8,596.53

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Solution

The fourth proportional to 9,902.16, 14,829.80 and 8,596.53 is: 12,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.16 : 14,829.80 = 8,596.53 : x
  2. Step 2: Convert to fraction form
    9,902.16/14,829.80 = 8,596.53/x
  3. Step 3: Cross multiply
    9,902.16x = 14,829.80 × 8,596.53
  4. Step 4: Simplify right side
    9,902.16x = 127,484,777.61
  5. Step 5: Solve for x
    x = 127,484,777.61/9,902.16
  6. Step 6: Final answer
    x = 12,874.44

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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.