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Finding the Fourth Proportional to 9,863.52, 14,795.88 and 4,020

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Solution

The fourth proportional to 9,863.52, 14,795.88 and 4,020 is: 6,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.52 : 14,795.88 = 4,020 : x
  2. Step 2: Convert to fraction form
    9,863.52/14,795.88 = 4,020/x
  3. Step 3: Cross multiply
    9,863.52x = 14,795.88 × 4,020
  4. Step 4: Simplify right side
    9,863.52x = 59,479,437.60
  5. Step 5: Solve for x
    x = 59,479,437.60/9,863.52
  6. Step 6: Final answer
    x = 6,030.24

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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.