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Finding the Fourth Proportional to 9,890.64, 14,816.52 and 4,618.35

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Solution

The fourth proportional to 9,890.64, 14,816.52 and 4,618.35 is: 6,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.64 : 14,816.52 = 4,618.35 : x
  2. Step 2: Convert to fraction form
    9,890.64/14,816.52 = 4,618.35/x
  3. Step 3: Cross multiply
    9,890.64x = 14,816.52 × 4,618.35
  4. Step 4: Simplify right side
    9,890.64x = 68,427,875.14
  5. Step 5: Solve for x
    x = 68,427,875.14/9,890.64
  6. Step 6: Final answer
    x = 6,918.45

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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.