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Finding the Fourth Proportional to 10,346.54, 14,276.25 and 6,570.32

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Solution

The fourth proportional to 10,346.54, 14,276.25 and 6,570.32 is: 9,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,346.54 : 14,276.25 = 6,570.32 : x
  2. Step 2: Convert to fraction form
    10,346.54/14,276.25 = 6,570.32/x
  3. Step 3: Cross multiply
    10,346.54x = 14,276.25 × 6,570.32
  4. Step 4: Simplify right side
    10,346.54x = 93,799,459.52
  5. Step 5: Solve for x
    x = 93,799,459.52/10,346.54
  6. Step 6: Final answer
    x = 9,065.78

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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.