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Finding the Fourth Proportional to 6,941.69, 9,582.65 and 4,427.17

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Solution

The fourth proportional to 6,941.69, 9,582.65 and 4,427.17 is: 6,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.69 : 9,582.65 = 4,427.17 : x
  2. Step 2: Convert to fraction form
    6,941.69/9,582.65 = 4,427.17/x
  3. Step 3: Cross multiply
    6,941.69x = 9,582.65 × 4,427.17
  4. Step 4: Simplify right side
    6,941.69x = 42,423,950.55
  5. Step 5: Solve for x
    x = 42,423,950.55/6,941.69
  6. Step 6: Final answer
    x = 6,111.47

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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.