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Finding the Fourth Proportional to 6,477.52, 8,929.17 and 4,684.18

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Solution

The fourth proportional to 6,477.52, 8,929.17 and 4,684.18 is: 6,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.52 : 8,929.17 = 4,684.18 : x
  2. Step 2: Convert to fraction form
    6,477.52/8,929.17 = 4,684.18/x
  3. Step 3: Cross multiply
    6,477.52x = 8,929.17 × 4,684.18
  4. Step 4: Simplify right side
    6,477.52x = 41,825,839.53
  5. Step 5: Solve for x
    x = 41,825,839.53/6,477.52
  6. Step 6: Final answer
    x = 6,457.08

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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.