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Finding the Fourth Proportional to 10,368.16, 14,274.75 and 9,228.40

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Solution

The fourth proportional to 10,368.16, 14,274.75 and 9,228.40 is: 12,705.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.16 : 14,274.75 = 9,228.40 : x
  2. Step 2: Convert to fraction form
    10,368.16/14,274.75 = 9,228.40/x
  3. Step 3: Cross multiply
    10,368.16x = 14,274.75 × 9,228.40
  4. Step 4: Simplify right side
    10,368.16x = 131,733,102.90
  5. Step 5: Solve for x
    x = 131,733,102.90/10,368.16
  6. Step 6: Final answer
    x = 12,705.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.