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Finding the Fourth Proportional to 10,269.84, 15,395.13 and 9,356.82

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Solution

The fourth proportional to 10,269.84, 15,395.13 and 9,356.82 is: 14,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.84 : 15,395.13 = 9,356.82 : x
  2. Step 2: Convert to fraction form
    10,269.84/15,395.13 = 9,356.82/x
  3. Step 3: Cross multiply
    10,269.84x = 15,395.13 × 9,356.82
  4. Step 4: Simplify right side
    10,269.84x = 144,049,460.29
  5. Step 5: Solve for x
    x = 144,049,460.29/10,269.84
  6. Step 6: Final answer
    x = 14,026.46

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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.