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Finding the Fourth Proportional to 9,457.80, 13,051.66 and 5,208.78

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Solution

The fourth proportional to 9,457.80, 13,051.66 and 5,208.78 is: 7,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.80 : 13,051.66 = 5,208.78 : x
  2. Step 2: Convert to fraction form
    9,457.80/13,051.66 = 5,208.78/x
  3. Step 3: Cross multiply
    9,457.80x = 13,051.66 × 5,208.78
  4. Step 4: Simplify right side
    9,457.80x = 67,983,225.57
  5. Step 5: Solve for x
    x = 67,983,225.57/9,457.80
  6. Step 6: Final answer
    x = 7,188.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.