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Finding the Fourth Proportional to 7,106.16, 9,802.48 and 4,448.96

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Solution

The fourth proportional to 7,106.16, 9,802.48 and 4,448.96 is: 6,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.16 : 9,802.48 = 4,448.96 : x
  2. Step 2: Convert to fraction form
    7,106.16/9,802.48 = 4,448.96/x
  3. Step 3: Cross multiply
    7,106.16x = 9,802.48 × 4,448.96
  4. Step 4: Simplify right side
    7,106.16x = 43,610,841.42
  5. Step 5: Solve for x
    x = 43,610,841.42/7,106.16
  6. Step 6: Final answer
    x = 6,137.05

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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.