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Finding the Fourth Proportional to 6,914.92, 9,547.50 and 4,263.16

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Solution

The fourth proportional to 6,914.92, 9,547.50 and 4,263.16 is: 5,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.92 : 9,547.50 = 4,263.16 : x
  2. Step 2: Convert to fraction form
    6,914.92/9,547.50 = 4,263.16/x
  3. Step 3: Cross multiply
    6,914.92x = 9,547.50 × 4,263.16
  4. Step 4: Simplify right side
    6,914.92x = 40,702,520.10
  5. Step 5: Solve for x
    x = 40,702,520.10/6,914.92
  6. Step 6: Final answer
    x = 5,886.19

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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.