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Finding the Fourth Proportional to 9,713.04, 14,575.48 and 3,870.12

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Solution

The fourth proportional to 9,713.04, 14,575.48 and 3,870.12 is: 5,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.04 : 14,575.48 = 3,870.12 : x
  2. Step 2: Convert to fraction form
    9,713.04/14,575.48 = 3,870.12/x
  3. Step 3: Cross multiply
    9,713.04x = 14,575.48 × 3,870.12
  4. Step 4: Simplify right side
    9,713.04x = 56,408,856.66
  5. Step 5: Solve for x
    x = 56,408,856.66/9,713.04
  6. Step 6: Final answer
    x = 5,807.54

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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.