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Finding the Fourth Proportional to 9,647.51, 14,472.59 and 3,071.43

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Solution

The fourth proportional to 9,647.51, 14,472.59 and 3,071.43 is: 4,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.51 : 14,472.59 = 3,071.43 : x
  2. Step 2: Convert to fraction form
    9,647.51/14,472.59 = 3,071.43/x
  3. Step 3: Cross multiply
    9,647.51x = 14,472.59 × 3,071.43
  4. Step 4: Simplify right side
    9,647.51x = 44,451,531.75
  5. Step 5: Solve for x
    x = 44,451,531.75/9,647.51
  6. Step 6: Final answer
    x = 4,607.57

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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.