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Finding the Fourth Proportional to 6,893.64, 9,509.00 and 6,011.55

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Solution

The fourth proportional to 6,893.64, 9,509.00 and 6,011.55 is: 8,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.64 : 9,509.00 = 6,011.55 : x
  2. Step 2: Convert to fraction form
    6,893.64/9,509.00 = 6,011.55/x
  3. Step 3: Cross multiply
    6,893.64x = 9,509.00 × 6,011.55
  4. Step 4: Simplify right side
    6,893.64x = 57,163,798.89
  5. Step 5: Solve for x
    x = 57,163,798.89/6,893.64
  6. Step 6: Final answer
    x = 8,292.25

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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.