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Finding the Fourth Proportional to 9,829.34, 14,749.77 and 7,053.02

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Solution

The fourth proportional to 9,829.34, 14,749.77 and 7,053.02 is: 10,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.34 : 14,749.77 = 7,053.02 : x
  2. Step 2: Convert to fraction form
    9,829.34/14,749.77 = 7,053.02/x
  3. Step 3: Cross multiply
    9,829.34x = 14,749.77 × 7,053.02
  4. Step 4: Simplify right side
    9,829.34x = 104,030,422.81
  5. Step 5: Solve for x
    x = 104,030,422.81/9,829.34
  6. Step 6: Final answer
    x = 10,583.66

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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.