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Finding the Fourth Proportional to 9,225.63, 13,838.81 and 5,248.53

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Solution

The fourth proportional to 9,225.63, 13,838.81 and 5,248.53 is: 7,873.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.63 : 13,838.81 = 5,248.53 : x
  2. Step 2: Convert to fraction form
    9,225.63/13,838.81 = 5,248.53/x
  3. Step 3: Cross multiply
    9,225.63x = 13,838.81 × 5,248.53
  4. Step 4: Simplify right side
    9,225.63x = 72,633,383.21
  5. Step 5: Solve for x
    x = 72,633,383.21/9,225.63
  6. Step 6: Final answer
    x = 7,873.00

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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.