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Finding the Fourth Proportional to 9,875.81, 14,817.77 and 4,033.01

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Solution

The fourth proportional to 9,875.81, 14,817.77 and 4,033.01 is: 6,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.81 : 14,817.77 = 4,033.01 : x
  2. Step 2: Convert to fraction form
    9,875.81/14,817.77 = 4,033.01/x
  3. Step 3: Cross multiply
    9,875.81x = 14,817.77 × 4,033.01
  4. Step 4: Simplify right side
    9,875.81x = 59,760,120.33
  5. Step 5: Solve for x
    x = 59,760,120.33/9,875.81
  6. Step 6: Final answer
    x = 6,051.16

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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.