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Finding the Fourth Proportional to 9,050.32, 12,459.58 and 7,870.76

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Solution

The fourth proportional to 9,050.32, 12,459.58 and 7,870.76 is: 10,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050.32 : 12,459.58 = 7,870.76 : x
  2. Step 2: Convert to fraction form
    9,050.32/12,459.58 = 7,870.76/x
  3. Step 3: Cross multiply
    9,050.32x = 12,459.58 × 7,870.76
  4. Step 4: Simplify right side
    9,050.32x = 98,066,363.88
  5. Step 5: Solve for x
    x = 98,066,363.88/9,050.32
  6. Step 6: Final answer
    x = 10,835.68

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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.