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Finding the Fourth Proportional to 10,226.29, 15,357.93 and 9,403.06

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Solution

The fourth proportional to 10,226.29, 15,357.93 and 9,403.06 is: 14,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.29 : 15,357.93 = 9,403.06 : x
  2. Step 2: Convert to fraction form
    10,226.29/15,357.93 = 9,403.06/x
  3. Step 3: Cross multiply
    10,226.29x = 15,357.93 × 9,403.06
  4. Step 4: Simplify right side
    10,226.29x = 144,411,537.27
  5. Step 5: Solve for x
    x = 144,411,537.27/10,226.29
  6. Step 6: Final answer
    x = 14,121.60

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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.