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Finding the Fourth Proportional to 9,767.72, 14,648.51 and 3,526.91

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Solution

The fourth proportional to 9,767.72, 14,648.51 and 3,526.91 is: 5,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.72 : 14,648.51 = 3,526.91 : x
  2. Step 2: Convert to fraction form
    9,767.72/14,648.51 = 3,526.91/x
  3. Step 3: Cross multiply
    9,767.72x = 14,648.51 × 3,526.91
  4. Step 4: Simplify right side
    9,767.72x = 51,663,885.53
  5. Step 5: Solve for x
    x = 51,663,885.53/9,767.72
  6. Step 6: Final answer
    x = 5,289.25

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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.