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Finding the Fourth Proportional to 10,387.20, 14,346 and 6,866.40

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Solution

The fourth proportional to 10,387.20, 14,346 and 6,866.40 is: 9,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.20 : 14,346 = 6,866.40 : x
  2. Step 2: Convert to fraction form
    10,387.20/14,346 = 6,866.40/x
  3. Step 3: Cross multiply
    10,387.20x = 14,346 × 6,866.40
  4. Step 4: Simplify right side
    10,387.20x = 98,505,374.40
  5. Step 5: Solve for x
    x = 98,505,374.40/10,387.20
  6. Step 6: Final answer
    x = 9,483.34

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