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Finding the Fourth Proportional to 9,244.50, 13,867.47 and 3,088.50

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Solution

The fourth proportional to 9,244.50, 13,867.47 and 3,088.50 is: 4,632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,244.50 : 13,867.47 = 3,088.50 : x
  2. Step 2: Convert to fraction form
    9,244.50/13,867.47 = 3,088.50/x
  3. Step 3: Cross multiply
    9,244.50x = 13,867.47 × 3,088.50
  4. Step 4: Simplify right side
    9,244.50x = 42,829,681.10
  5. Step 5: Solve for x
    x = 42,829,681.10/9,244.50
  6. Step 6: Final answer
    x = 4,632.99

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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.