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Finding the Fourth Proportional to 9,698.16, 13,385.88 and 5,970

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Solution

The fourth proportional to 9,698.16, 13,385.88 and 5,970 is: 8,240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.16 : 13,385.88 = 5,970 : x
  2. Step 2: Convert to fraction form
    9,698.16/13,385.88 = 5,970/x
  3. Step 3: Cross multiply
    9,698.16x = 13,385.88 × 5,970
  4. Step 4: Simplify right side
    9,698.16x = 79,913,703.60
  5. Step 5: Solve for x
    x = 79,913,703.60/9,698.16
  6. Step 6: Final answer
    x = 8,240.09

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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.