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Finding the Fourth Proportional to 6,470.36, 9,702.48 and 2,959.34

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Solution

The fourth proportional to 6,470.36, 9,702.48 and 2,959.34 is: 4,437.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.36 : 9,702.48 = 2,959.34 : x
  2. Step 2: Convert to fraction form
    6,470.36/9,702.48 = 2,959.34/x
  3. Step 3: Cross multiply
    6,470.36x = 9,702.48 × 2,959.34
  4. Step 4: Simplify right side
    6,470.36x = 28,712,937.16
  5. Step 5: Solve for x
    x = 28,712,937.16/6,470.36
  6. Step 6: Final answer
    x = 4,437.61

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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.