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Finding the Fourth Proportional to 7,013.18, 9,671.54 and 5,417.28

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Solution

The fourth proportional to 7,013.18, 9,671.54 and 5,417.28 is: 7,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.18 : 9,671.54 = 5,417.28 : x
  2. Step 2: Convert to fraction form
    7,013.18/9,671.54 = 5,417.28/x
  3. Step 3: Cross multiply
    7,013.18x = 9,671.54 × 5,417.28
  4. Step 4: Simplify right side
    7,013.18x = 52,393,413.12
  5. Step 5: Solve for x
    x = 52,393,413.12/7,013.18
  6. Step 6: Final answer
    x = 7,470.70

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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.