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Finding the Fourth Proportional to 9,205.02, 13,807.53 and 4,009.68

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Solution

The fourth proportional to 9,205.02, 13,807.53 and 4,009.68 is: 6,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.02 : 13,807.53 = 4,009.68 : x
  2. Step 2: Convert to fraction form
    9,205.02/13,807.53 = 4,009.68/x
  3. Step 3: Cross multiply
    9,205.02x = 13,807.53 × 4,009.68
  4. Step 4: Simplify right side
    9,205.02x = 55,363,776.89
  5. Step 5: Solve for x
    x = 55,363,776.89/9,205.02
  6. Step 6: Final answer
    x = 6,014.52

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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.