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Finding the Fourth Proportional to 9,309.84, 13,959.33 and 3,068.16

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Solution

The fourth proportional to 9,309.84, 13,959.33 and 3,068.16 is: 4,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.84 : 13,959.33 = 3,068.16 : x
  2. Step 2: Convert to fraction form
    9,309.84/13,959.33 = 3,068.16/x
  3. Step 3: Cross multiply
    9,309.84x = 13,959.33 × 3,068.16
  4. Step 4: Simplify right side
    9,309.84x = 42,829,457.93
  5. Step 5: Solve for x
    x = 42,829,457.93/9,309.84
  6. Step 6: Final answer
    x = 4,600.45

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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.