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Finding the Fourth Proportional to 9,641.85, 14,463.45 and 4,094.58

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Solution

The fourth proportional to 9,641.85, 14,463.45 and 4,094.58 is: 6,142.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.85 : 14,463.45 = 4,094.58 : x
  2. Step 2: Convert to fraction form
    9,641.85/14,463.45 = 4,094.58/x
  3. Step 3: Cross multiply
    9,641.85x = 14,463.45 × 4,094.58
  4. Step 4: Simplify right side
    9,641.85x = 59,221,753.10
  5. Step 5: Solve for x
    x = 59,221,753.10/9,641.85
  6. Step 6: Final answer
    x = 6,142.16

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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.