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Finding the Fourth Proportional to 9,406.08, 12,953.28 and 9,210.24

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Solution

The fourth proportional to 9,406.08, 12,953.28 and 9,210.24 is: 12,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.08 : 12,953.28 = 9,210.24 : x
  2. Step 2: Convert to fraction form
    9,406.08/12,953.28 = 9,210.24/x
  3. Step 3: Cross multiply
    9,406.08x = 12,953.28 × 9,210.24
  4. Step 4: Simplify right side
    9,406.08x = 119,302,817.59
  5. Step 5: Solve for x
    x = 119,302,817.59/9,406.08
  6. Step 6: Final answer
    x = 12,683.59

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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.