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Finding the Fourth Proportional to 7,133.60, 9,838.48 and 5,362.16

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Solution

The fourth proportional to 7,133.60, 9,838.48 and 5,362.16 is: 7,395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.60 : 9,838.48 = 5,362.16 : x
  2. Step 2: Convert to fraction form
    7,133.60/9,838.48 = 5,362.16/x
  3. Step 3: Cross multiply
    7,133.60x = 9,838.48 × 5,362.16
  4. Step 4: Simplify right side
    7,133.60x = 52,755,503.92
  5. Step 5: Solve for x
    x = 52,755,503.92/7,133.60
  6. Step 6: Final answer
    x = 7,395.35

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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.