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Finding the Fourth Proportional to 9,869.62, 14,805.76 and 4,602

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Solution

The fourth proportional to 9,869.62, 14,805.76 and 4,602 is: 6,903.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.62 : 14,805.76 = 4,602 : x
  2. Step 2: Convert to fraction form
    9,869.62/14,805.76 = 4,602/x
  3. Step 3: Cross multiply
    9,869.62x = 14,805.76 × 4,602
  4. Step 4: Simplify right side
    9,869.62x = 68,136,107.52
  5. Step 5: Solve for x
    x = 68,136,107.52/9,869.62
  6. Step 6: Final answer
    x = 6,903.62

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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.