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Finding the Fourth Proportional to 10,389.60, 14,353.20 and 9,417.60

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Solution

The fourth proportional to 10,389.60, 14,353.20 and 9,417.60 is: 13,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,389.60 : 14,353.20 = 9,417.60 : x
  2. Step 2: Convert to fraction form
    10,389.60/14,353.20 = 9,417.60/x
  3. Step 3: Cross multiply
    10,389.60x = 14,353.20 × 9,417.60
  4. Step 4: Simplify right side
    10,389.60x = 135,172,696.32
  5. Step 5: Solve for x
    x = 135,172,696.32/10,389.60
  6. Step 6: Final answer
    x = 13,010.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.