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Finding the Fourth Proportional to 9,641.44, 14,461.04 and 4,095.60

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Solution

The fourth proportional to 9,641.44, 14,461.04 and 4,095.60 is: 6,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.44 : 14,461.04 = 4,095.60 : x
  2. Step 2: Convert to fraction form
    9,641.44/14,461.04 = 4,095.60/x
  3. Step 3: Cross multiply
    9,641.44x = 14,461.04 × 4,095.60
  4. Step 4: Simplify right side
    9,641.44x = 59,226,635.42
  5. Step 5: Solve for x
    x = 59,226,635.42/9,641.44
  6. Step 6: Final answer
    x = 6,142.92

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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.