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Finding the Fourth Proportional to 9,875.99, 14,814.29 and 4,326.47

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Solution

The fourth proportional to 9,875.99, 14,814.29 and 4,326.47 is: 6,489.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.99 : 14,814.29 = 4,326.47 : x
  2. Step 2: Convert to fraction form
    9,875.99/14,814.29 = 4,326.47/x
  3. Step 3: Cross multiply
    9,875.99x = 14,814.29 × 4,326.47
  4. Step 4: Simplify right side
    9,875.99x = 64,093,581.26
  5. Step 5: Solve for x
    x = 64,093,581.26/9,875.99
  6. Step 6: Final answer
    x = 6,489.84

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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.