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Finding the Fourth Proportional to 9,741.40, 14,612.10 and 6,047.80

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Solution

The fourth proportional to 9,741.40, 14,612.10 and 6,047.80 is: 9,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.40 : 14,612.10 = 6,047.80 : x
  2. Step 2: Convert to fraction form
    9,741.40/14,612.10 = 6,047.80/x
  3. Step 3: Cross multiply
    9,741.40x = 14,612.10 × 6,047.80
  4. Step 4: Simplify right side
    9,741.40x = 88,371,058.38
  5. Step 5: Solve for x
    x = 88,371,058.38/9,741.40
  6. Step 6: Final answer
    x = 9,071.70

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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.