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Finding the Fourth Proportional to 9,741.80, 14,615.40 and 6,461.30

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Solution

The fourth proportional to 9,741.80, 14,615.40 and 6,461.30 is: 9,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.80 : 14,615.40 = 6,461.30 : x
  2. Step 2: Convert to fraction form
    9,741.80/14,615.40 = 6,461.30/x
  3. Step 3: Cross multiply
    9,741.80x = 14,615.40 × 6,461.30
  4. Step 4: Simplify right side
    9,741.80x = 94,434,484.02
  5. Step 5: Solve for x
    x = 94,434,484.02/9,741.80
  6. Step 6: Final answer
    x = 9,693.74

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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.