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Finding the Fourth Proportional to 9,068.07, 12,509.67 and 6,416.94

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Solution

The fourth proportional to 9,068.07, 12,509.67 and 6,416.94 is: 8,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068.07 : 12,509.67 = 6,416.94 : x
  2. Step 2: Convert to fraction form
    9,068.07/12,509.67 = 6,416.94/x
  3. Step 3: Cross multiply
    9,068.07x = 12,509.67 × 6,416.94
  4. Step 4: Simplify right side
    9,068.07x = 80,273,801.81
  5. Step 5: Solve for x
    x = 80,273,801.81/9,068.07
  6. Step 6: Final answer
    x = 8,852.36

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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.