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Finding the Fourth Proportional to 9,547.06, 14,289.48 and 8,637.70

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Solution

The fourth proportional to 9,547.06, 14,289.48 and 8,637.70 is: 12,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.06 : 14,289.48 = 8,637.70 : x
  2. Step 2: Convert to fraction form
    9,547.06/14,289.48 = 8,637.70/x
  3. Step 3: Cross multiply
    9,547.06x = 14,289.48 × 8,637.70
  4. Step 4: Simplify right side
    9,547.06x = 123,428,241.40
  5. Step 5: Solve for x
    x = 123,428,241.40/9,547.06
  6. Step 6: Final answer
    x = 12,928.40

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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.