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Finding the Fourth Proportional to 9,583.51, 14,374.32 and 3,009.52

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Solution

The fourth proportional to 9,583.51, 14,374.32 and 3,009.52 is: 4,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.51 : 14,374.32 = 3,009.52 : x
  2. Step 2: Convert to fraction form
    9,583.51/14,374.32 = 3,009.52/x
  3. Step 3: Cross multiply
    9,583.51x = 14,374.32 × 3,009.52
  4. Step 4: Simplify right side
    9,583.51x = 43,259,803.53
  5. Step 5: Solve for x
    x = 43,259,803.53/9,583.51
  6. Step 6: Final answer
    x = 4,513.98

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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.