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Finding the Fourth Proportional to 6,605.52, 9,102.50 and 4,713.80

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Solution

The fourth proportional to 6,605.52, 9,102.50 and 4,713.80 is: 6,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.52 : 9,102.50 = 4,713.80 : x
  2. Step 2: Convert to fraction form
    6,605.52/9,102.50 = 4,713.80/x
  3. Step 3: Cross multiply
    6,605.52x = 9,102.50 × 4,713.80
  4. Step 4: Simplify right side
    6,605.52x = 42,907,364.50
  5. Step 5: Solve for x
    x = 42,907,364.50/6,605.52
  6. Step 6: Final answer
    x = 6,495.68

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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.