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Finding the Fourth Proportional to 9,815.28, 14,710.44 and 4,614

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Solution

The fourth proportional to 9,815.28, 14,710.44 and 4,614 is: 6,915.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.28 : 14,710.44 = 4,614 : x
  2. Step 2: Convert to fraction form
    9,815.28/14,710.44 = 4,614/x
  3. Step 3: Cross multiply
    9,815.28x = 14,710.44 × 4,614
  4. Step 4: Simplify right side
    9,815.28x = 67,873,970.16
  5. Step 5: Solve for x
    x = 67,873,970.16/9,815.28
  6. Step 6: Final answer
    x = 6,915.13

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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.