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Finding the Fourth Proportional to 9,733.47, 14,602.03 and 4,539.35

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Solution

The fourth proportional to 9,733.47, 14,602.03 and 4,539.35 is: 6,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.47 : 14,602.03 = 4,539.35 : x
  2. Step 2: Convert to fraction form
    9,733.47/14,602.03 = 4,539.35/x
  3. Step 3: Cross multiply
    9,733.47x = 14,602.03 × 4,539.35
  4. Step 4: Simplify right side
    9,733.47x = 66,283,629.17
  5. Step 5: Solve for x
    x = 66,283,629.17/9,733.47
  6. Step 6: Final answer
    x = 6,809.87

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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.