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Finding the Fourth Proportional to 10,352.40, 15,528.60 and 9,842.10

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Solution

The fourth proportional to 10,352.40, 15,528.60 and 9,842.10 is: 14,763.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.40 : 15,528.60 = 9,842.10 : x
  2. Step 2: Convert to fraction form
    10,352.40/15,528.60 = 9,842.10/x
  3. Step 3: Cross multiply
    10,352.40x = 15,528.60 × 9,842.10
  4. Step 4: Simplify right side
    10,352.40x = 152,834,034.06
  5. Step 5: Solve for x
    x = 152,834,034.06/10,352.40
  6. Step 6: Final answer
    x = 14,763.15

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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.