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Finding the Fourth Proportional to 9,854.55, 14,778.32 and 4,306.32

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Solution

The fourth proportional to 9,854.55, 14,778.32 and 4,306.32 is: 6,457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.55 : 14,778.32 = 4,306.32 : x
  2. Step 2: Convert to fraction form
    9,854.55/14,778.32 = 4,306.32/x
  3. Step 3: Cross multiply
    9,854.55x = 14,778.32 × 4,306.32
  4. Step 4: Simplify right side
    9,854.55x = 63,640,153.45
  5. Step 5: Solve for x
    x = 63,640,153.45/9,854.55
  6. Step 6: Final answer
    x = 6,457.95

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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.