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Finding the Fourth Proportional to 9,484.98, 13,090.59 and 5,293.50

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Solution

The fourth proportional to 9,484.98, 13,090.59 and 5,293.50 is: 7,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.98 : 13,090.59 = 5,293.50 : x
  2. Step 2: Convert to fraction form
    9,484.98/13,090.59 = 5,293.50/x
  3. Step 3: Cross multiply
    9,484.98x = 13,090.59 × 5,293.50
  4. Step 4: Simplify right side
    9,484.98x = 69,295,038.17
  5. Step 5: Solve for x
    x = 69,295,038.17/9,484.98
  6. Step 6: Final answer
    x = 7,305.77

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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.