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Finding the Fourth Proportional to 6,435.72, 9,613.65 and 4,666.68

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Solution

The fourth proportional to 6,435.72, 9,613.65 and 4,666.68 is: 6,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.72 : 9,613.65 = 4,666.68 : x
  2. Step 2: Convert to fraction form
    6,435.72/9,613.65 = 4,666.68/x
  3. Step 3: Cross multiply
    6,435.72x = 9,613.65 × 4,666.68
  4. Step 4: Simplify right side
    6,435.72x = 44,863,828.18
  5. Step 5: Solve for x
    x = 44,863,828.18/6,435.72
  6. Step 6: Final answer
    x = 6,971.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.