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Finding the Fourth Proportional to 9,648.03, 14,474.18 and 4,106.08

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Solution

The fourth proportional to 9,648.03, 14,474.18 and 4,106.08 is: 6,160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.03 : 14,474.18 = 4,106.08 : x
  2. Step 2: Convert to fraction form
    9,648.03/14,474.18 = 4,106.08/x
  3. Step 3: Cross multiply
    9,648.03x = 14,474.18 × 4,106.08
  4. Step 4: Simplify right side
    9,648.03x = 59,432,141.01
  5. Step 5: Solve for x
    x = 59,432,141.01/9,648.03
  6. Step 6: Final answer
    x = 6,160.03

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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.