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Finding the Fourth Proportional to 9,876.13, 14,811.46 and 4,876.10

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Solution

The fourth proportional to 9,876.13, 14,811.46 and 4,876.10 is: 7,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.13 : 14,811.46 = 4,876.10 : x
  2. Step 2: Convert to fraction form
    9,876.13/14,811.46 = 4,876.10/x
  3. Step 3: Cross multiply
    9,876.13x = 14,811.46 × 4,876.10
  4. Step 4: Simplify right side
    9,876.13x = 72,222,129.40
  5. Step 5: Solve for x
    x = 72,222,129.40/9,876.13
  6. Step 6: Final answer
    x = 7,312.80

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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.