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Finding the Fourth Proportional to 9,485.28, 14,192.28 and 6,569.28

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Solution

The fourth proportional to 9,485.28, 14,192.28 and 6,569.28 is: 9,829.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.28 : 14,192.28 = 6,569.28 : x
  2. Step 2: Convert to fraction form
    9,485.28/14,192.28 = 6,569.28/x
  3. Step 3: Cross multiply
    9,485.28x = 14,192.28 × 6,569.28
  4. Step 4: Simplify right side
    9,485.28x = 93,233,061.16
  5. Step 5: Solve for x
    x = 93,233,061.16/9,485.28
  6. Step 6: Final answer
    x = 9,829.24

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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.