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Finding the Fourth Proportional to 6,347.77, 9,513.45 and 4,969.96

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Solution

The fourth proportional to 6,347.77, 9,513.45 and 4,969.96 is: 7,448.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.77 : 9,513.45 = 4,969.96 : x
  2. Step 2: Convert to fraction form
    6,347.77/9,513.45 = 4,969.96/x
  3. Step 3: Cross multiply
    6,347.77x = 9,513.45 × 4,969.96
  4. Step 4: Simplify right side
    6,347.77x = 47,281,442.18
  5. Step 5: Solve for x
    x = 47,281,442.18/6,347.77
  6. Step 6: Final answer
    x = 7,448.52

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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.