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Finding the Fourth Proportional to 9,607.72, 14,408.32 and 4,674.22

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Solution

The fourth proportional to 9,607.72, 14,408.32 and 4,674.22 is: 7,009.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.72 : 14,408.32 = 4,674.22 : x
  2. Step 2: Convert to fraction form
    9,607.72/14,408.32 = 4,674.22/x
  3. Step 3: Cross multiply
    9,607.72x = 14,408.32 × 4,674.22
  4. Step 4: Simplify right side
    9,607.72x = 67,347,657.51
  5. Step 5: Solve for x
    x = 67,347,657.51/9,607.72
  6. Step 6: Final answer
    x = 7,009.74

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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.