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Finding the Fourth Proportional to 9,904.40, 14,856.22 and 2,509.12

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Solution

The fourth proportional to 9,904.40, 14,856.22 and 2,509.12 is: 3,763.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.40 : 14,856.22 = 2,509.12 : x
  2. Step 2: Convert to fraction form
    9,904.40/14,856.22 = 2,509.12/x
  3. Step 3: Cross multiply
    9,904.40x = 14,856.22 × 2,509.12
  4. Step 4: Simplify right side
    9,904.40x = 37,276,038.73
  5. Step 5: Solve for x
    x = 37,276,038.73/9,904.40
  6. Step 6: Final answer
    x = 3,763.58

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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.