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Finding the Fourth Proportional to 10,749.93, 14,847.47 and 9,804.06

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Solution

The fourth proportional to 10,749.93, 14,847.47 and 9,804.06 is: 13,541.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749.93 : 14,847.47 = 9,804.06 : x
  2. Step 2: Convert to fraction form
    10,749.93/14,847.47 = 9,804.06/x
  3. Step 3: Cross multiply
    10,749.93x = 14,847.47 × 9,804.06
  4. Step 4: Simplify right side
    10,749.93x = 145,565,437.71
  5. Step 5: Solve for x
    x = 145,565,437.71/10,749.93
  6. Step 6: Final answer
    x = 13,541.06

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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.