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Finding the Fourth Proportional to 9,801.37, 14,695.65 and 4,176.10

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Solution

The fourth proportional to 9,801.37, 14,695.65 and 4,176.10 is: 6,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.37 : 14,695.65 = 4,176.10 : x
  2. Step 2: Convert to fraction form
    9,801.37/14,695.65 = 4,176.10/x
  3. Step 3: Cross multiply
    9,801.37x = 14,695.65 × 4,176.10
  4. Step 4: Simplify right side
    9,801.37x = 61,370,503.97
  5. Step 5: Solve for x
    x = 61,370,503.97/9,801.37
  6. Step 6: Final answer
    x = 6,261.42

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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.