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Finding the Fourth Proportional to 9,649.60, 14,475.06 and 4,102.32

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Solution

The fourth proportional to 9,649.60, 14,475.06 and 4,102.32 is: 6,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.60 : 14,475.06 = 4,102.32 : x
  2. Step 2: Convert to fraction form
    9,649.60/14,475.06 = 4,102.32/x
  3. Step 3: Cross multiply
    9,649.60x = 14,475.06 × 4,102.32
  4. Step 4: Simplify right side
    9,649.60x = 59,381,328.14
  5. Step 5: Solve for x
    x = 59,381,328.14/9,649.60
  6. Step 6: Final answer
    x = 6,153.76

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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.