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Finding the Fourth Proportional to 10,284.69, 14,185.47 and 6,693

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Solution

The fourth proportional to 10,284.69, 14,185.47 and 6,693 is: 9,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.69 : 14,185.47 = 6,693 : x
  2. Step 2: Convert to fraction form
    10,284.69/14,185.47 = 6,693/x
  3. Step 3: Cross multiply
    10,284.69x = 14,185.47 × 6,693
  4. Step 4: Simplify right side
    10,284.69x = 94,943,350.71
  5. Step 5: Solve for x
    x = 94,943,350.71/10,284.69
  6. Step 6: Final answer
    x = 9,231.52

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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.