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Finding the Fourth Proportional to 9,718.60, 14,570.70 and 4,167.40

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Solution

The fourth proportional to 9,718.60, 14,570.70 and 4,167.40 is: 6,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.60 : 14,570.70 = 4,167.40 : x
  2. Step 2: Convert to fraction form
    9,718.60/14,570.70 = 4,167.40/x
  3. Step 3: Cross multiply
    9,718.60x = 14,570.70 × 4,167.40
  4. Step 4: Simplify right side
    9,718.60x = 60,721,935.18
  5. Step 5: Solve for x
    x = 60,721,935.18/9,718.60
  6. Step 6: Final answer
    x = 6,248.01

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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.