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Finding the Fourth Proportional to 9,673.83, 14,501.46 and 6,152.92

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Solution

The fourth proportional to 9,673.83, 14,501.46 and 6,152.92 is: 9,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.83 : 14,501.46 = 6,152.92 : x
  2. Step 2: Convert to fraction form
    9,673.83/14,501.46 = 6,152.92/x
  3. Step 3: Cross multiply
    9,673.83x = 14,501.46 × 6,152.92
  4. Step 4: Simplify right side
    9,673.83x = 89,226,323.26
  5. Step 5: Solve for x
    x = 89,226,323.26/9,673.83
  6. Step 6: Final answer
    x = 9,223.47

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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.