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Finding the Fourth Proportional to 9,788.79, 13,499.35 and 7,547.12

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Solution

The fourth proportional to 9,788.79, 13,499.35 and 7,547.12 is: 10,407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.79 : 13,499.35 = 7,547.12 : x
  2. Step 2: Convert to fraction form
    9,788.79/13,499.35 = 7,547.12/x
  3. Step 3: Cross multiply
    9,788.79x = 13,499.35 × 7,547.12
  4. Step 4: Simplify right side
    9,788.79x = 101,881,214.37
  5. Step 5: Solve for x
    x = 101,881,214.37/9,788.79
  6. Step 6: Final answer
    x = 10,407.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.