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Finding the Fourth Proportional to 9,917.54, 14,862.50 and 6,589.70

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Solution

The fourth proportional to 9,917.54, 14,862.50 and 6,589.70 is: 9,875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.54 : 14,862.50 = 6,589.70 : x
  2. Step 2: Convert to fraction form
    9,917.54/14,862.50 = 6,589.70/x
  3. Step 3: Cross multiply
    9,917.54x = 14,862.50 × 6,589.70
  4. Step 4: Simplify right side
    9,917.54x = 97,939,416.25
  5. Step 5: Solve for x
    x = 97,939,416.25/9,917.54
  6. Step 6: Final answer
    x = 9,875.37

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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.