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Finding the Fourth Proportional to 9,668.16, 14,501.60 and 5,760.32

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Solution

The fourth proportional to 9,668.16, 14,501.60 and 5,760.32 is: 8,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.16 : 14,501.60 = 5,760.32 : x
  2. Step 2: Convert to fraction form
    9,668.16/14,501.60 = 5,760.32/x
  3. Step 3: Cross multiply
    9,668.16x = 14,501.60 × 5,760.32
  4. Step 4: Simplify right side
    9,668.16x = 83,533,856.51
  5. Step 5: Solve for x
    x = 83,533,856.51/9,668.16
  6. Step 6: Final answer
    x = 8,640.10

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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.