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Finding the Fourth Proportional to 9,457.60, 13,050.98 and 5,207.86

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Solution

The fourth proportional to 9,457.60, 13,050.98 and 5,207.86 is: 7,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.60 : 13,050.98 = 5,207.86 : x
  2. Step 2: Convert to fraction form
    9,457.60/13,050.98 = 5,207.86/x
  3. Step 3: Cross multiply
    9,457.60x = 13,050.98 × 5,207.86
  4. Step 4: Simplify right side
    9,457.60x = 67,967,635.11
  5. Step 5: Solve for x
    x = 67,967,635.11/9,457.60
  6. Step 6: Final answer
    x = 7,186.56

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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.