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Finding the Fourth Proportional to 9,457.98, 13,061.51 and 7,795.86

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Solution

The fourth proportional to 9,457.98, 13,061.51 and 7,795.86 is: 10,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.98 : 13,061.51 = 7,795.86 : x
  2. Step 2: Convert to fraction form
    9,457.98/13,061.51 = 7,795.86/x
  3. Step 3: Cross multiply
    9,457.98x = 13,061.51 × 7,795.86
  4. Step 4: Simplify right side
    9,457.98x = 101,825,703.35
  5. Step 5: Solve for x
    x = 101,825,703.35/9,457.98
  6. Step 6: Final answer
    x = 10,766.12

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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.