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Finding the Fourth Proportional to 9,461.79, 13,056.80 and 5,484.20

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Solution

The fourth proportional to 9,461.79, 13,056.80 and 5,484.20 is: 7,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.79 : 13,056.80 = 5,484.20 : x
  2. Step 2: Convert to fraction form
    9,461.79/13,056.80 = 5,484.20/x
  3. Step 3: Cross multiply
    9,461.79x = 13,056.80 × 5,484.20
  4. Step 4: Simplify right side
    9,461.79x = 71,606,009.86
  5. Step 5: Solve for x
    x = 71,606,009.86/9,461.79
  6. Step 6: Final answer
    x = 7,567.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.