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Finding the Fourth Proportional to 9,838.84, 14,777.46 and 9,477.88

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Solution

The fourth proportional to 9,838.84, 14,777.46 and 9,477.88 is: 14,235.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.84 : 14,777.46 = 9,477.88 : x
  2. Step 2: Convert to fraction form
    9,838.84/14,777.46 = 9,477.88/x
  3. Step 3: Cross multiply
    9,838.84x = 14,777.46 × 9,477.88
  4. Step 4: Simplify right side
    9,838.84x = 140,058,992.58
  5. Step 5: Solve for x
    x = 140,058,992.58/9,838.84
  6. Step 6: Final answer
    x = 14,235.32

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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.