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Finding the Fourth Proportional to 9,547.84, 14,319.28 and 6,426.08

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Solution

The fourth proportional to 9,547.84, 14,319.28 and 6,426.08 is: 9,637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.84 : 14,319.28 = 6,426.08 : x
  2. Step 2: Convert to fraction form
    9,547.84/14,319.28 = 6,426.08/x
  3. Step 3: Cross multiply
    9,547.84x = 14,319.28 × 6,426.08
  4. Step 4: Simplify right side
    9,547.84x = 92,016,838.82
  5. Step 5: Solve for x
    x = 92,016,838.82/9,547.84
  6. Step 6: Final answer
    x = 9,637.45

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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.