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Finding the Fourth Proportional to 9,699.52, 14,552.70 and 4,768.60

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Solution

The fourth proportional to 9,699.52, 14,552.70 and 4,768.60 is: 7,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.52 : 14,552.70 = 4,768.60 : x
  2. Step 2: Convert to fraction form
    9,699.52/14,552.70 = 4,768.60/x
  3. Step 3: Cross multiply
    9,699.52x = 14,552.70 × 4,768.60
  4. Step 4: Simplify right side
    9,699.52x = 69,396,005.22
  5. Step 5: Solve for x
    x = 69,396,005.22/9,699.52
  6. Step 6: Final answer
    x = 7,154.58

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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.