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Finding the Fourth Proportional to 10,384.84, 15,551.82 and 9,386.38

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Solution

The fourth proportional to 10,384.84, 15,551.82 and 9,386.38 is: 14,056.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.84 : 15,551.82 = 9,386.38 : x
  2. Step 2: Convert to fraction form
    10,384.84/15,551.82 = 9,386.38/x
  3. Step 3: Cross multiply
    10,384.84x = 15,551.82 × 9,386.38
  4. Step 4: Simplify right side
    10,384.84x = 145,975,292.21
  5. Step 5: Solve for x
    x = 145,975,292.21/10,384.84
  6. Step 6: Final answer
    x = 14,056.58

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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.