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Finding the Fourth Proportional to 9,638.51, 14,457.13 and 3,312.79

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Solution

The fourth proportional to 9,638.51, 14,457.13 and 3,312.79 is: 4,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.51 : 14,457.13 = 3,312.79 : x
  2. Step 2: Convert to fraction form
    9,638.51/14,457.13 = 3,312.79/x
  3. Step 3: Cross multiply
    9,638.51x = 14,457.13 × 3,312.79
  4. Step 4: Simplify right side
    9,638.51x = 47,893,355.13
  5. Step 5: Solve for x
    x = 47,893,355.13/9,638.51
  6. Step 6: Final answer
    x = 4,968.96

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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.