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Finding the Fourth Proportional to 9,225.66, 13,838.28 and 2,300.16

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Solution

The fourth proportional to 9,225.66, 13,838.28 and 2,300.16 is: 3,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.66 : 13,838.28 = 2,300.16 : x
  2. Step 2: Convert to fraction form
    9,225.66/13,838.28 = 2,300.16/x
  3. Step 3: Cross multiply
    9,225.66x = 13,838.28 × 2,300.16
  4. Step 4: Simplify right side
    9,225.66x = 31,830,258.12
  5. Step 5: Solve for x
    x = 31,830,258.12/9,225.66
  6. Step 6: Final answer
    x = 3,450.19

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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.