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Finding the Fourth Proportional to 9,756.30, 14,605.71 and 6,046.59

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Solution

The fourth proportional to 9,756.30, 14,605.71 and 6,046.59 is: 9,052.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.30 : 14,605.71 = 6,046.59 : x
  2. Step 2: Convert to fraction form
    9,756.30/14,605.71 = 6,046.59/x
  3. Step 3: Cross multiply
    9,756.30x = 14,605.71 × 6,046.59
  4. Step 4: Simplify right side
    9,756.30x = 88,314,740.03
  5. Step 5: Solve for x
    x = 88,314,740.03/9,756.30
  6. Step 6: Final answer
    x = 9,052.07

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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.