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Finding the Fourth Proportional to 9,395.60, 14,093.40 and 2,470

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Solution

The fourth proportional to 9,395.60, 14,093.40 and 2,470 is: 3,705

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.60 : 14,093.40 = 2,470 : x
  2. Step 2: Convert to fraction form
    9,395.60/14,093.40 = 2,470/x
  3. Step 3: Cross multiply
    9,395.60x = 14,093.40 × 2,470
  4. Step 4: Simplify right side
    9,395.60x = 34,810,698
  5. Step 5: Solve for x
    x = 34,810,698/9,395.60
  6. Step 6: Final answer
    x = 3,705

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.