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Finding the Fourth Proportional to 6,140.30, 9,199.65 and 5,038.70

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Solution

The fourth proportional to 6,140.30, 9,199.65 and 5,038.70 is: 7,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.30 : 9,199.65 = 5,038.70 : x
  2. Step 2: Convert to fraction form
    6,140.30/9,199.65 = 5,038.70/x
  3. Step 3: Cross multiply
    6,140.30x = 9,199.65 × 5,038.70
  4. Step 4: Simplify right side
    6,140.30x = 46,354,276.46
  5. Step 5: Solve for x
    x = 46,354,276.46/6,140.30
  6. Step 6: Final answer
    x = 7,549.19

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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.