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Finding the Fourth Proportional to 9,903.64, 14,853.56 and 6,388.12

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Solution

The fourth proportional to 9,903.64, 14,853.56 and 6,388.12 is: 9,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.64 : 14,853.56 = 6,388.12 : x
  2. Step 2: Convert to fraction form
    9,903.64/14,853.56 = 6,388.12/x
  3. Step 3: Cross multiply
    9,903.64x = 14,853.56 × 6,388.12
  4. Step 4: Simplify right side
    9,903.64x = 94,886,323.71
  5. Step 5: Solve for x
    x = 94,886,323.71/9,903.64
  6. Step 6: Final answer
    x = 9,580.95

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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.