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Finding the Fourth Proportional to 9,377.55, 14,066.35 and 3,830.90

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Solution

The fourth proportional to 9,377.55, 14,066.35 and 3,830.90 is: 5,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.55 : 14,066.35 = 3,830.90 : x
  2. Step 2: Convert to fraction form
    9,377.55/14,066.35 = 3,830.90/x
  3. Step 3: Cross multiply
    9,377.55x = 14,066.35 × 3,830.90
  4. Step 4: Simplify right side
    9,377.55x = 53,886,761.06
  5. Step 5: Solve for x
    x = 53,886,761.06/9,377.55
  6. Step 6: Final answer
    x = 5,746.36

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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.