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Finding the Fourth Proportional to 9,412.28, 14,126.88 and 6,916.64

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Solution

The fourth proportional to 9,412.28, 14,126.88 and 6,916.64 is: 10,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.28 : 14,126.88 = 6,916.64 : x
  2. Step 2: Convert to fraction form
    9,412.28/14,126.88 = 6,916.64/x
  3. Step 3: Cross multiply
    9,412.28x = 14,126.88 × 6,916.64
  4. Step 4: Simplify right side
    9,412.28x = 97,710,543.28
  5. Step 5: Solve for x
    x = 97,710,543.28/9,412.28
  6. Step 6: Final answer
    x = 10,381.18

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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.