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Finding the Fourth Proportional to 9,641.86, 14,461.71 and 6,541.78

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Solution

The fourth proportional to 9,641.86, 14,461.71 and 6,541.78 is: 9,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.86 : 14,461.71 = 6,541.78 : x
  2. Step 2: Convert to fraction form
    9,641.86/14,461.71 = 6,541.78/x
  3. Step 3: Cross multiply
    9,641.86x = 14,461.71 × 6,541.78
  4. Step 4: Simplify right side
    9,641.86x = 94,605,325.24
  5. Step 5: Solve for x
    x = 94,605,325.24/9,641.86
  6. Step 6: Final answer
    x = 9,811.94

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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.