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Finding the Fourth Proportional to 9,862.36, 14,773.28 and 6,564.84

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Solution

The fourth proportional to 9,862.36, 14,773.28 and 6,564.84 is: 9,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.36 : 14,773.28 = 6,564.84 : x
  2. Step 2: Convert to fraction form
    9,862.36/14,773.28 = 6,564.84/x
  3. Step 3: Cross multiply
    9,862.36x = 14,773.28 × 6,564.84
  4. Step 4: Simplify right side
    9,862.36x = 96,984,219.48
  5. Step 5: Solve for x
    x = 96,984,219.48/9,862.36
  6. Step 6: Final answer
    x = 9,833.77

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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.