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Finding the Fourth Proportional to 9,677.95, 14,507.35 and 4,671.09

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Solution

The fourth proportional to 9,677.95, 14,507.35 and 4,671.09 is: 7,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.95 : 14,507.35 = 4,671.09 : x
  2. Step 2: Convert to fraction form
    9,677.95/14,507.35 = 4,671.09/x
  3. Step 3: Cross multiply
    9,677.95x = 14,507.35 × 4,671.09
  4. Step 4: Simplify right side
    9,677.95x = 67,765,137.51
  5. Step 5: Solve for x
    x = 67,765,137.51/9,677.95
  6. Step 6: Final answer
    x = 7,002.01

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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.