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Finding the Fourth Proportional to 9,866.16, 14,798.68 and 5,969.52

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Solution

The fourth proportional to 9,866.16, 14,798.68 and 5,969.52 is: 8,953.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.16 : 14,798.68 = 5,969.52 : x
  2. Step 2: Convert to fraction form
    9,866.16/14,798.68 = 5,969.52/x
  3. Step 3: Cross multiply
    9,866.16x = 14,798.68 × 5,969.52
  4. Step 4: Simplify right side
    9,866.16x = 88,341,016.23
  5. Step 5: Solve for x
    x = 88,341,016.23/9,866.16
  6. Step 6: Final answer
    x = 8,953.94

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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.