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Finding the Fourth Proportional to 10,387.19, 14,326.95 and 6,409.60

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Solution

The fourth proportional to 10,387.19, 14,326.95 and 6,409.60 is: 8,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.19 : 14,326.95 = 6,409.60 : x
  2. Step 2: Convert to fraction form
    10,387.19/14,326.95 = 6,409.60/x
  3. Step 3: Cross multiply
    10,387.19x = 14,326.95 × 6,409.60
  4. Step 4: Simplify right side
    10,387.19x = 91,830,018.72
  5. Step 5: Solve for x
    x = 91,830,018.72/10,387.19
  6. Step 6: Final answer
    x = 8,840.70

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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.