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Finding the Fourth Proportional to 10,296.32, 15,415.05 and 9,642.40

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Solution

The fourth proportional to 10,296.32, 15,415.05 and 9,642.40 is: 14,436.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.32 : 15,415.05 = 9,642.40 : x
  2. Step 2: Convert to fraction form
    10,296.32/15,415.05 = 9,642.40/x
  3. Step 3: Cross multiply
    10,296.32x = 15,415.05 × 9,642.40
  4. Step 4: Simplify right side
    10,296.32x = 148,638,001.04
  5. Step 5: Solve for x
    x = 148,638,001.04/10,296.32
  6. Step 6: Final answer
    x = 14,436.03

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