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Finding the Fourth Proportional to 9,208.40, 13,818.65 and 5,051.32

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Solution

The fourth proportional to 9,208.40, 13,818.65 and 5,051.32 is: 7,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.40 : 13,818.65 = 5,051.32 : x
  2. Step 2: Convert to fraction form
    9,208.40/13,818.65 = 5,051.32/x
  3. Step 3: Cross multiply
    9,208.40x = 13,818.65 × 5,051.32
  4. Step 4: Simplify right side
    9,208.40x = 69,802,423.12
  5. Step 5: Solve for x
    x = 69,802,423.12/9,208.40
  6. Step 6: Final answer
    x = 7,580.30

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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.