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Finding the Fourth Proportional to 9,543.10, 14,314.65 and 4,278.10

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Solution

The fourth proportional to 9,543.10, 14,314.65 and 4,278.10 is: 6,417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.10 : 14,314.65 = 4,278.10 : x
  2. Step 2: Convert to fraction form
    9,543.10/14,314.65 = 4,278.10/x
  3. Step 3: Cross multiply
    9,543.10x = 14,314.65 × 4,278.10
  4. Step 4: Simplify right side
    9,543.10x = 61,239,504.17
  5. Step 5: Solve for x
    x = 61,239,504.17/9,543.10
  6. Step 6: Final answer
    x = 6,417.15

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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.