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Finding the Fourth Proportional to 9,686.61, 14,531.47 and 4,140

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Solution

The fourth proportional to 9,686.61, 14,531.47 and 4,140 is: 6,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.61 : 14,531.47 = 4,140 : x
  2. Step 2: Convert to fraction form
    9,686.61/14,531.47 = 4,140/x
  3. Step 3: Cross multiply
    9,686.61x = 14,531.47 × 4,140
  4. Step 4: Simplify right side
    9,686.61x = 60,160,275.45
  5. Step 5: Solve for x
    x = 60,160,275.45/9,686.61
  6. Step 6: Final answer
    x = 6,210.66

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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.