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Finding the Fourth Proportional to 6,413.64, 9,607.65 and 4,215.70

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Solution

The fourth proportional to 6,413.64, 9,607.65 and 4,215.70 is: 6,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.64 : 9,607.65 = 4,215.70 : x
  2. Step 2: Convert to fraction form
    6,413.64/9,607.65 = 4,215.70/x
  3. Step 3: Cross multiply
    6,413.64x = 9,607.65 × 4,215.70
  4. Step 4: Simplify right side
    6,413.64x = 40,502,970.11
  5. Step 5: Solve for x
    x = 40,502,970.11/6,413.64
  6. Step 6: Final answer
    x = 6,315.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.