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Finding the Fourth Proportional to 9,672.66, 14,506.23 and 4,404.72

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Solution

The fourth proportional to 9,672.66, 14,506.23 and 4,404.72 is: 6,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.66 : 14,506.23 = 4,404.72 : x
  2. Step 2: Convert to fraction form
    9,672.66/14,506.23 = 4,404.72/x
  3. Step 3: Cross multiply
    9,672.66x = 14,506.23 × 4,404.72
  4. Step 4: Simplify right side
    9,672.66x = 63,895,881.41
  5. Step 5: Solve for x
    x = 63,895,881.41/9,672.66
  6. Step 6: Final answer
    x = 6,605.82

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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.