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Finding the Fourth Proportional to 10,458.64, 14,430.73 and 6,209.10

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Solution

The fourth proportional to 10,458.64, 14,430.73 and 6,209.10 is: 8,567.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.64 : 14,430.73 = 6,209.10 : x
  2. Step 2: Convert to fraction form
    10,458.64/14,430.73 = 6,209.10/x
  3. Step 3: Cross multiply
    10,458.64x = 14,430.73 × 6,209.10
  4. Step 4: Simplify right side
    10,458.64x = 89,601,845.64
  5. Step 5: Solve for x
    x = 89,601,845.64/10,458.64
  6. Step 6: Final answer
    x = 8,567.26

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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.