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Finding the Fourth Proportional to 9,648.60, 14,474.82 and 4,101.90

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Solution

The fourth proportional to 9,648.60, 14,474.82 and 4,101.90 is: 6,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.60 : 14,474.82 = 4,101.90 : x
  2. Step 2: Convert to fraction form
    9,648.60/14,474.82 = 4,101.90/x
  3. Step 3: Cross multiply
    9,648.60x = 14,474.82 × 4,101.90
  4. Step 4: Simplify right side
    9,648.60x = 59,374,264.16
  5. Step 5: Solve for x
    x = 59,374,264.16/9,648.60
  6. Step 6: Final answer
    x = 6,153.67

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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.