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Finding the Fourth Proportional to 6,500.09, 8,970.10 and 3,515.93

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Solution

The fourth proportional to 6,500.09, 8,970.10 and 3,515.93 is: 4,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.09 : 8,970.10 = 3,515.93 : x
  2. Step 2: Convert to fraction form
    6,500.09/8,970.10 = 3,515.93/x
  3. Step 3: Cross multiply
    6,500.09x = 8,970.10 × 3,515.93
  4. Step 4: Simplify right side
    6,500.09x = 31,538,203.24
  5. Step 5: Solve for x
    x = 31,538,203.24/6,500.09
  6. Step 6: Final answer
    x = 4,851.96

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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.