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Finding the Fourth Proportional to 10,284.38, 15,390.93 and 6,333.88

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Solution

The fourth proportional to 10,284.38, 15,390.93 and 6,333.88 is: 9,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.38 : 15,390.93 = 6,333.88 : x
  2. Step 2: Convert to fraction form
    10,284.38/15,390.93 = 6,333.88/x
  3. Step 3: Cross multiply
    10,284.38x = 15,390.93 × 6,333.88
  4. Step 4: Simplify right side
    10,284.38x = 97,484,303.71
  5. Step 5: Solve for x
    x = 97,484,303.71/10,284.38
  6. Step 6: Final answer
    x = 9,478.87

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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.