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Finding the Fourth Proportional to 9,488.42, 13,091.46 and 6,130.01

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Solution

The fourth proportional to 9,488.42, 13,091.46 and 6,130.01 is: 8,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.42 : 13,091.46 = 6,130.01 : x
  2. Step 2: Convert to fraction form
    9,488.42/13,091.46 = 6,130.01/x
  3. Step 3: Cross multiply
    9,488.42x = 13,091.46 × 6,130.01
  4. Step 4: Simplify right side
    9,488.42x = 80,250,715.26
  5. Step 5: Solve for x
    x = 80,250,715.26/9,488.42
  6. Step 6: Final answer
    x = 8,457.76

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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.