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Finding the Fourth Proportional to 9,277.64, 13,918.50 and 4,600.19

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Solution

The fourth proportional to 9,277.64, 13,918.50 and 4,600.19 is: 6,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.64 : 13,918.50 = 4,600.19 : x
  2. Step 2: Convert to fraction form
    9,277.64/13,918.50 = 4,600.19/x
  3. Step 3: Cross multiply
    9,277.64x = 13,918.50 × 4,600.19
  4. Step 4: Simplify right side
    9,277.64x = 64,027,779.31
  5. Step 5: Solve for x
    x = 64,027,779.31/9,277.64
  6. Step 6: Final answer
    x = 6,901.30

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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.