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Finding the Fourth Proportional to 6,303.84, 8,699.76 and 3,509.16

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Solution

The fourth proportional to 6,303.84, 8,699.76 and 3,509.16 is: 4,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.84 : 8,699.76 = 3,509.16 : x
  2. Step 2: Convert to fraction form
    6,303.84/8,699.76 = 3,509.16/x
  3. Step 3: Cross multiply
    6,303.84x = 8,699.76 × 3,509.16
  4. Step 4: Simplify right side
    6,303.84x = 30,528,849.80
  5. Step 5: Solve for x
    x = 30,528,849.80/6,303.84
  6. Step 6: Final answer
    x = 4,842.90

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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.