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Finding the Fourth Proportional to 10,368.66, 14,275.44 and 9,228.90

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Solution

The fourth proportional to 10,368.66, 14,275.44 and 9,228.90 is: 12,706.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,368.66 : 14,275.44 = 9,228.90 : x
  2. Step 2: Convert to fraction form
    10,368.66/14,275.44 = 9,228.90/x
  3. Step 3: Cross multiply
    10,368.66x = 14,275.44 × 9,228.90
  4. Step 4: Simplify right side
    10,368.66x = 131,746,608.22
  5. Step 5: Solve for x
    x = 131,746,608.22/10,368.66
  6. Step 6: Final answer
    x = 12,706.23

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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.