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Finding the Fourth Proportional to 9,648.28, 13,325.52 and 6,499

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Solution

The fourth proportional to 9,648.28, 13,325.52 and 6,499 is: 8,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.28 : 13,325.52 = 6,499 : x
  2. Step 2: Convert to fraction form
    9,648.28/13,325.52 = 6,499/x
  3. Step 3: Cross multiply
    9,648.28x = 13,325.52 × 6,499
  4. Step 4: Simplify right side
    9,648.28x = 86,602,554.48
  5. Step 5: Solve for x
    x = 86,602,554.48/9,648.28
  6. Step 6: Final answer
    x = 8,975.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.