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Finding the Fourth Proportional to 6,365.76, 9,548.60 and 2,470.13

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Solution

The fourth proportional to 6,365.76, 9,548.60 and 2,470.13 is: 3,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.76 : 9,548.60 = 2,470.13 : x
  2. Step 2: Convert to fraction form
    6,365.76/9,548.60 = 2,470.13/x
  3. Step 3: Cross multiply
    6,365.76x = 9,548.60 × 2,470.13
  4. Step 4: Simplify right side
    6,365.76x = 23,586,223.22
  5. Step 5: Solve for x
    x = 23,586,223.22/6,365.76
  6. Step 6: Final answer
    x = 3,705.17

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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.