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Finding the Fourth Proportional to 10,552.44, 14,557.02 and 9,802.02

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Solution

The fourth proportional to 10,552.44, 14,557.02 and 9,802.02 is: 13,521.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.44 : 14,557.02 = 9,802.02 : x
  2. Step 2: Convert to fraction form
    10,552.44/14,557.02 = 9,802.02/x
  3. Step 3: Cross multiply
    10,552.44x = 14,557.02 × 9,802.02
  4. Step 4: Simplify right side
    10,552.44x = 142,688,201.18
  5. Step 5: Solve for x
    x = 142,688,201.18/10,552.44
  6. Step 6: Final answer
    x = 13,521.82

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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.