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Finding the Fourth Proportional to 9,472.68, 14,207.40 and 4,541.40

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Solution

The fourth proportional to 9,472.68, 14,207.40 and 4,541.40 is: 6,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.68 : 14,207.40 = 4,541.40 : x
  2. Step 2: Convert to fraction form
    9,472.68/14,207.40 = 4,541.40/x
  3. Step 3: Cross multiply
    9,472.68x = 14,207.40 × 4,541.40
  4. Step 4: Simplify right side
    9,472.68x = 64,521,486.36
  5. Step 5: Solve for x
    x = 64,521,486.36/9,472.68
  6. Step 6: Final answer
    x = 6,811.32

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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.