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Finding the Fourth Proportional to 9,756.69, 14,643.23 and 4,214.19

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Solution

The fourth proportional to 9,756.69, 14,643.23 and 4,214.19 is: 6,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.69 : 14,643.23 = 4,214.19 : x
  2. Step 2: Convert to fraction form
    9,756.69/14,643.23 = 4,214.19/x
  3. Step 3: Cross multiply
    9,756.69x = 14,643.23 × 4,214.19
  4. Step 4: Simplify right side
    9,756.69x = 61,709,332.36
  5. Step 5: Solve for x
    x = 61,709,332.36/9,756.69
  6. Step 6: Final answer
    x = 6,324.82

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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.