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Finding the Fourth Proportional to 9,614.19, 14,357.18 and 9,122.10

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Solution

The fourth proportional to 9,614.19, 14,357.18 and 9,122.10 is: 13,622.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.19 : 14,357.18 = 9,122.10 : x
  2. Step 2: Convert to fraction form
    9,614.19/14,357.18 = 9,122.10/x
  3. Step 3: Cross multiply
    9,614.19x = 14,357.18 × 9,122.10
  4. Step 4: Simplify right side
    9,614.19x = 130,967,586.07
  5. Step 5: Solve for x
    x = 130,967,586.07/9,614.19
  6. Step 6: Final answer
    x = 13,622.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.