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Finding the Fourth Proportional to 9,886.96, 14,830.44 and 4,549.60

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Solution

The fourth proportional to 9,886.96, 14,830.44 and 4,549.60 is: 6,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.96 : 14,830.44 = 4,549.60 : x
  2. Step 2: Convert to fraction form
    9,886.96/14,830.44 = 4,549.60/x
  3. Step 3: Cross multiply
    9,886.96x = 14,830.44 × 4,549.60
  4. Step 4: Simplify right side
    9,886.96x = 67,472,569.82
  5. Step 5: Solve for x
    x = 67,472,569.82/9,886.96
  6. Step 6: Final answer
    x = 6,824.40

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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.