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Finding the Fourth Proportional to 7,117.77, 9,822.54 and 3,973.98

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Solution

The fourth proportional to 7,117.77, 9,822.54 and 3,973.98 is: 5,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.77 : 9,822.54 = 3,973.98 : x
  2. Step 2: Convert to fraction form
    7,117.77/9,822.54 = 3,973.98/x
  3. Step 3: Cross multiply
    7,117.77x = 9,822.54 × 3,973.98
  4. Step 4: Simplify right side
    7,117.77x = 39,034,577.51
  5. Step 5: Solve for x
    x = 39,034,577.51/7,117.77
  6. Step 6: Final answer
    x = 5,484.10

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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.