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Finding the Fourth Proportional to 9,547.60, 14,329.12 and 6,584.24

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Solution

The fourth proportional to 9,547.60, 14,329.12 and 6,584.24 is: 9,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.60 : 14,329.12 = 6,584.24 : x
  2. Step 2: Convert to fraction form
    9,547.60/14,329.12 = 6,584.24/x
  3. Step 3: Cross multiply
    9,547.60x = 14,329.12 × 6,584.24
  4. Step 4: Simplify right side
    9,547.60x = 94,346,365.07
  5. Step 5: Solve for x
    x = 94,346,365.07/9,547.60
  6. Step 6: Final answer
    x = 9,881.68

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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.