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Finding the Fourth Proportional to 9,646.74, 14,477.81 and 3,807.45

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Solution

The fourth proportional to 9,646.74, 14,477.81 and 3,807.45 is: 5,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.74 : 14,477.81 = 3,807.45 : x
  2. Step 2: Convert to fraction form
    9,646.74/14,477.81 = 3,807.45/x
  3. Step 3: Cross multiply
    9,646.74x = 14,477.81 × 3,807.45
  4. Step 4: Simplify right side
    9,646.74x = 55,123,518.65
  5. Step 5: Solve for x
    x = 55,123,518.65/9,646.74
  6. Step 6: Final answer
    x = 5,714.21

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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.