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Finding the Fourth Proportional to 9,883.30, 14,802.96 and 7,101.60

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Solution

The fourth proportional to 9,883.30, 14,802.96 and 7,101.60 is: 10,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.30 : 14,802.96 = 7,101.60 : x
  2. Step 2: Convert to fraction form
    9,883.30/14,802.96 = 7,101.60/x
  3. Step 3: Cross multiply
    9,883.30x = 14,802.96 × 7,101.60
  4. Step 4: Simplify right side
    9,883.30x = 105,124,700.74
  5. Step 5: Solve for x
    x = 105,124,700.74/9,883.30
  6. Step 6: Final answer
    x = 10,636.60

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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.