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Finding the Fourth Proportional to 6,599.08, 9,106.69 and 3,614.93

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Solution

The fourth proportional to 6,599.08, 9,106.69 and 3,614.93 is: 4,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.08 : 9,106.69 = 3,614.93 : x
  2. Step 2: Convert to fraction form
    6,599.08/9,106.69 = 3,614.93/x
  3. Step 3: Cross multiply
    6,599.08x = 9,106.69 × 3,614.93
  4. Step 4: Simplify right side
    6,599.08x = 32,920,038.32
  5. Step 5: Solve for x
    x = 32,920,038.32/6,599.08
  6. Step 6: Final answer
    x = 4,988.58

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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.