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Finding the Fourth Proportional to 9,432.94, 14,136 and 6,948.22

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Solution

The fourth proportional to 9,432.94, 14,136 and 6,948.22 is: 10,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.94 : 14,136 = 6,948.22 : x
  2. Step 2: Convert to fraction form
    9,432.94/14,136 = 6,948.22/x
  3. Step 3: Cross multiply
    9,432.94x = 14,136 × 6,948.22
  4. Step 4: Simplify right side
    9,432.94x = 98,220,037.92
  5. Step 5: Solve for x
    x = 98,220,037.92/9,432.94
  6. Step 6: Final answer
    x = 10,412.45

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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.