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Finding the Fourth Proportional to 9,741.51, 14,607.04 and 5,056.80

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Solution

The fourth proportional to 9,741.51, 14,607.04 and 5,056.80 is: 7,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.51 : 14,607.04 = 5,056.80 : x
  2. Step 2: Convert to fraction form
    9,741.51/14,607.04 = 5,056.80/x
  3. Step 3: Cross multiply
    9,741.51x = 14,607.04 × 5,056.80
  4. Step 4: Simplify right side
    9,741.51x = 73,864,879.87
  5. Step 5: Solve for x
    x = 73,864,879.87/9,741.51
  6. Step 6: Final answer
    x = 7,582.49

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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.