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Finding the Fourth Proportional to 9,748.16, 14,606.88 and 5,847.68

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Solution

The fourth proportional to 9,748.16, 14,606.88 and 5,847.68 is: 8,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.16 : 14,606.88 = 5,847.68 : x
  2. Step 2: Convert to fraction form
    9,748.16/14,606.88 = 5,847.68/x
  3. Step 3: Cross multiply
    9,748.16x = 14,606.88 × 5,847.68
  4. Step 4: Simplify right side
    9,748.16x = 85,416,360.04
  5. Step 5: Solve for x
    x = 85,416,360.04/9,748.16
  6. Step 6: Final answer
    x = 8,762.31

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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.