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Finding the Fourth Proportional to 6,312.87, 9,470.35 and 2,365.54

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Solution

The fourth proportional to 6,312.87, 9,470.35 and 2,365.54 is: 3,548.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.87 : 9,470.35 = 2,365.54 : x
  2. Step 2: Convert to fraction form
    6,312.87/9,470.35 = 2,365.54/x
  3. Step 3: Cross multiply
    6,312.87x = 9,470.35 × 2,365.54
  4. Step 4: Simplify right side
    6,312.87x = 22,402,471.02
  5. Step 5: Solve for x
    x = 22,402,471.02/6,312.87
  6. Step 6: Final answer
    x = 3,548.70

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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.