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Finding the Fourth Proportional to 9,834.93, 14,746.77 and 4,567.23

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Solution

The fourth proportional to 9,834.93, 14,746.77 and 4,567.23 is: 6,848.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.93 : 14,746.77 = 4,567.23 : x
  2. Step 2: Convert to fraction form
    9,834.93/14,746.77 = 4,567.23/x
  3. Step 3: Cross multiply
    9,834.93x = 14,746.77 × 4,567.23
  4. Step 4: Simplify right side
    9,834.93x = 67,351,890.35
  5. Step 5: Solve for x
    x = 67,351,890.35/9,834.93
  6. Step 6: Final answer
    x = 6,848.23

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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.