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Finding the Fourth Proportional to 9,859.10, 14,788.65 and 9,052.70

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Solution

The fourth proportional to 9,859.10, 14,788.65 and 9,052.70 is: 13,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.10 : 14,788.65 = 9,052.70 : x
  2. Step 2: Convert to fraction form
    9,859.10/14,788.65 = 9,052.70/x
  3. Step 3: Cross multiply
    9,859.10x = 14,788.65 × 9,052.70
  4. Step 4: Simplify right side
    9,859.10x = 133,877,211.86
  5. Step 5: Solve for x
    x = 133,877,211.86/9,859.10
  6. Step 6: Final answer
    x = 13,579.05

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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.